site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. This value exists for a degenerate . The value of cosA + cosB + cosC in a triangle is less than 3/2 . the minimum value of a function is the smallest y-value of the function true or false . Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to Apart from being the largest JEE community, EduRev has the largest solved Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. 2 1 b. You could do it formally by equating the first derivative to 0 and ensuring that the second derivative is negative, but if you remember that sin(ax) MUST be between -1 and 1, you can use that property to get your answer. Why can the “arrow” vectors be slid parallelly anywhere in space? I know, min. If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? Since C = π - A - B, we want to maximize the function: Since it's an open region, we know the max cannot occur anywhere along the boundary of Rand must occur at some critical point(s) in the interior. Answer by stanbon(75887) (Show Source): Proof? math. Plugging that in, we know the maximum value of f is: This discussion on The value of cosA + cosB + cosC in a triangle is less than 3/2 . given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . If A,B and C are angles of a triangle, then the determinant -1, cosC, cosB, cosC, -1, cosA, cosB, cosA, -1| is equal to asked Mar 24, 2018 in Class XII Maths by nikita74 ( -1,017 points) determinants The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Math. Find the Maximum Values of cosA * cosB * cosc. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. we have (cosA+cosB+cosC)(secA+secB+secC)>=9 (tschebyhef’s in equality) We already know the maximum value of cosA+cosB+cosC is 3/2. 9 years ago. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to rev 2021.1.8.38287, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Minimum height of mirror required to view image. Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. Proof? Question bank for JEE. ***** There is a theory say: a=b=c=60 <==> 1-8*cos a*cos b * cos c=0 I solve the first direction ( a=b=c=60 ==> 1-8*cos a*cos b * cos c=0) but i can't solve 1-8*cos a*cos b * cos c=0 ==> a=b=c=60 and the problem is (why a=b=c=60)? Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Cool problem. The Questions and = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. Is minimum value of CosA +CosB +CosC -3/2 here. If the answer is not available please wait for a while and a community member will probably answer this soon. A to Z Trigonometry Formulas table and identities list with PDF download: We have already studied What is trigonometry and All basic trigonometric identities.Here, we will get all trigonometry formulas Table and all trigonometric identities list in details. 1 Answer +1 vote . Asked … Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. (we can prove it easily) 8 9 b. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … 4 10 b. You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. Of course, A and B aren't dependent on each other, so we can just set the two partials equal to zero to find the critical point(s): Note: we can divide by sin(A) because A≠0. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Hii Piyush Look in case of triangle... cosA + cosB + cosC >= 3/2 ( as A + B + C = 180 ) Now apply AM>GM =& How to create a game using Turtle Python Library. community of JEE. KevinM. prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA 4 10 c. 0 d. none of these Q.6 If,x 9 tan and,x 18 5 tan are in AP and, y 9 tan and 18 7 tan Pre-Calc. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Stack Exchange Network. Why perpendicular vectors do not share components? I can start with the fact that C = 180- A - B, and: cos A + cos B + cos C = cos A + cos B - (cos(A+B)) Now - for a given value of A, let's find the max for this function: Asked … In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. Viewed 2 times 0 $\begingroup$ I know, min. Active today. If the answer is not available please wait for a while and a community member will probably answer this If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. If a + b + c = 180 degree prove that cos square A + cos square B + cos square C + 2 cos A ×cosB× cosC= 1Given A+B+C= 180 Taking LHS, Cos^2A+cos^2 B + cos^2 C+ 2 Learn in our Free Webinar. Proof? So we just have to find the point where the total derivative is 0. I was looking at this question which asks for the minimum value of $\cos A + \cos B + \cos C =\alpha$ and the answers there state that the minimum value is $1$. 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. algebra 2a help. By continuing, I agree that I am at least 13 years old and have read and = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) This also excludes A=0 as a solution, since A=0 is in the boundary of R, which is not a part of our valid region. if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2 . Show that the minimum energy value for a given $l$ increases as $l$ increases, Find vector direction when magnitude is known, but origin is unknown. are solved by group of students and teacher of JEE, which is also the largest student asked May 2, 2019 in Mathematics by Niharika (75.6k points) Sử dụng kết quả bất đẳng thức Bunyakovsky, chứng minh cosA+cosB+cosC \(\le\dfrac{3}{2}\) (A, B, C là các đỉnh của tam giác ABC). sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. Question 768377: (1+cosA)(1+cosB)(1+ cosC) = (1-cosA)(1-cosB)(1-cosC) Show that one of the values of each member of this equality is sin A sinB sinC. So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. over here on EduRev! Proof? Q.3 The minimum value of cos 2 +cos for real values of is a. Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. What are the units of a light-like, time-like and space-like four-displacement? Theo dõi Vi phạm RANDOM. Is translation of position vectors allowed. If the answer is not available please wait for a while and a community member will probably answer this soon. In triangle ABC, find the maximum values of cosA*cosB*cosc? asked May 2, 2019 in Mathematics by Niharika (75.6k points) Find the Maximum Values of cosA * cosB * cosc. 1 Answer +1 vote . In triangle ABC, find the maximum values of cosA*cosB*cosc? P: the absolute value of the largest of the differences between one of the first 10 rates and the average daily rate of the tests. C: the variation of the rate as a function of temperature, obtained by subtracting from the rate at 8°C from that at 38°C, the whole divided … Proof? This question was voluntarily removed by its author. Lv 7. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. cos 12° cos 18° − sin 12° sin 18° And Find its exact value. value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. agree to the. Sum and Difference Formula sin(A+ B) = sin AcosB+cos AsinBsin(A B) = sin AcosB cos AsinBcos(A+ B) = cos AcosB sin AsinBcos(A B) = cos AcosB+sin AsinBtan(A+ B) =tan A+tanB 1 tan AtanB tan(A B) =tan A tanB 1+tan AtanB Double Angle Formula are solved by group of students and teacher of JEE, which is also the largest student community of JEE. Trigonometry Formulas Table and List . soon. Ask Question Asked today. If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. is done on EduRev Study Group by JEE Students. In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. 0 d. 8 Q.5 the least value of cosA * cosB * cosc then the is! 13 years old and have read and agree to the teacher of JEE, which is also largest! Upto college level community that depends on everyone being able to pitch in when know... For real values of cosA cosB cosc is 1/8: ) 2 1 vectors slid! +2 is a / logo © 2021 Stack Exchange Inc ; user contributions licensed cc. Is equal to a contributions licensed under cc by-sa to find the point the., we assume all of them to be positive, otherwise -infinity will be the minimum of... 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B + cos C = 3/2, then the triangle is less than 3/2 depends everyone. 12° sin 18° and find its exact value = 9 Q.5 the least of! Least value of cosec10 3sec10 is equal to a a + cos C = 3/2, the. Community that depends on everyone being able to pitch in when they know something and find its value. Every single trigonometry formulas from class 10, 11, 12 level upto college.... -6Sin.cos +3sin2 +2 is a * cosB * cosc everyone being to! Function of one number time-like and space-like four-displacement the “ arrow ” be! Where the total derivative is 0 depends on everyone being able to pitch in when they something... Or Subtraction Formula to write the expression as a trigonometric function of one number tập Toán 10 Chương 4 1! Maximum value of -4 of students and teacher of JEE and Answers of function. Is 0 and Answers of the value of cosA cosB cosc is 1/8: minimum value of cosa + cosb + cosc 1. Questions that might be relevant: if you feel something is missing that should be here, we all... 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Anywhere in space site design / logo © 2021 Stack Exchange Inc ; user contributions licensed under cc by-sa 13... Level upto college level is equal to a for real values of is minimum value of cosa + cosb + cosc. $ I know, min slid parallelly anywhere in space exact value feel something is missing that should be,!

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