WebNov 1, 2024 · 11.4K subscribers In this video, we will learn to prove the equation cot^2 (pi/6) + cosec (5pi/6) + 3 tan^2 (pi /6) =6. WebJul 18, 2024 · since we get #f'(pi/4)=2(sqrt(3)-1)^2>0#so is #f(x)#increasing for this Point. Explanation: At first we not that #cot(-x+5pi/6)=-cot(x+pi/6)# so #-cot(x+pi/6)=csc^2(x+pi/6)# and #f'(pi/4)=2(sqrt(3)-1)^2# Note that #pi/4+pi/6=(3pi+2pi)/12=(5pi)/12# Answer link Related questions How do you know a …
How do you solve cot^2x-cscx=1? Socratic
WebFree trigonometric simplification calculator - Simplify trigonometric expressions to their simplest form step-by-step WebHow to Find the Value of Cot pi/6? The value of cot pi/6 can be calculated by constructing an angle of π/6 radians with the x-axis, and then finding the coordinates of the … saying alot of things as undyne
Prove that cot^2(π/6) + cosec^2(5π/6) + 3tan^2(π/6) = 6
WebJan 3, 2024 · x = π 6 + 2πn, 5π 6 + 2πn and 3π 2 +2πn Explanation: Use the pythagorean identity cot2θ +1 = csc2θ. This means that cot2θ = csc2θ − 1. csc2x −1 −cscx = 1 csc2x −cscx −2 = 0 Let t = cscx. t2 −t − 2 = 0 (t − 2)(t + 1) = 0 t = 2 and − 1 cscx = 2 and cscx = −1 1 sinx = 2 and 1 sinx = − 1 sinx = 1 2 and sinx = −1 x = π 6 + 2πn, 5π 6 + 2πn and 3π 2 … Webcot ( 5π 6) cot ( 5 π 6) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the second quadrant. −cot( π 6) - cot ( π 6) The exact value of cot(π 6) cot ( π 6) is √3 3. −√3 - 3. The result can be shown in multiple forms. WebNov 1, 2024 · In this video, we will learn to prove the equation cot^2 (pi/6) + cosec (5pi/6) + 3 tan^2 (pi /6) =6. saying american lawyer is in time