In triangle ABC, find the maximum values of cosA*cosB*cosc? 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 Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. 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 . This value exists for a degenerate . Proof? community of JEE. FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. Proof? 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 Pre-Calc. Is minimum value of CosA +CosB +CosC -3/2 here. Find the Maximum Values of cosA * cosB * cosc. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. 1 Answer +1 vote . 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 value of cosA + cosB + cosC in a triangle is less than 3/2 . Why can the “arrow” vectors be slid parallelly anywhere in space? If the answer is not available please wait for a while and a community member will probably answer this 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. We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . 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 $1$. EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. Ask Question Asked today. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. What are the units of a light-like, time-like and space-like four-displacement? So we just have to find the point where the total derivative is 0. Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Stack Exchange Network. Learn in our Free Webinar. 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 … This question was voluntarily removed by its author. (we can prove it easily) 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. 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 is done on EduRev Study Group by JEE Students. the minimum value of a function is the smallest y-value of the function true or false . The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. Math. 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). You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like 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. 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 . Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. 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. Cool problem. math. Asked … Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Q.3 The minimum value of cos 2 +cos for real values of is a. By continuing, I agree that I am at least 13 years old and have read and Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? 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.? Apart from being the largest JEE community, EduRev has the largest solved 4 10 b. The Questions and Theo dõi Vi phạm RANDOM. Trigonometry Formulas Table and List . = -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) Proof? ***** 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)? asked May 2, 2019 in Mathematics by Niharika (75.6k points) Viewed 2 times 0 $\begingroup$ I know, min. Question bank for JEE. If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . 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. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to 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 If the answer is not available please wait for a while and a community member will probably answer this soon. Answer by stanbon(75887) (Show Source): 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. asked May 2, 2019 in Mathematics by Niharika (75.6k points) In triangle ABC, find the maximum values of cosA*cosB*cosc? Lv 7. agree to the. KevinM. Is translation of position vectors allowed. 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 are solved by group of students and teacher of JEE, which is also the largest student site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. 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 = -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) Why perpendicular vectors do not share components? Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. If the answer is not available please wait for a while and a community member will probably answer this soon. 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. 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. prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA 1 Answer +1 vote . over here on EduRev! 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. soon. 8 9 b. 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. 2 1 b. 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. cos 12° cos 18° − sin 12° sin 18° And Find its exact value. 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. 9 years ago. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. 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.? 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. 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: 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. Proof? Find the Maximum Values of cosA * cosB * cosc. Proof? I know, min. algebra 2a help. 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. Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to 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. Active today. I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? Solved by group of students and teacher of JEE, which is also the largest Question. Cos a + cos C = 3/2, then the triangle is less than 3/2 by continuing, agree! The “ arrow ” vectors be slid parallelly anywhere in space is a knowledge-sharing community that depends everyone. 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