Trigonometric EquationHard
Question
If 
dx Ax Blogsin(x - α) +C, then value of (A, B) is
dx Ax Blogsin(x - α) +C, then value of (A, B) isOptions
A.(sinα, cosα)
B.(cosα, sinα)
C.(-sinα, cosα)
D.(-cosα, sinα)
Solution
Put x - α = t
⇒
dt = sinα ∫ cot tdt + cos α ∫ dt
= cos α(x - α) + sin α in |sin t| + c
A = cos α, B = sin α
⇒
dt = sinα ∫ cot tdt + cos α ∫ dt= cos α(x - α) + sin α in |sin t| + c
A = cos α, B = sin α
Create a free account to view solution
View Solution FreeMore Trigonometric Equation Questions
If f(x) = (2x - π)3 + 2x - cosx, then (f-1 (x)) at x = π is equal to -...Number of solutions of the equation tan x + sec x = 2cos x lying in the interval [0, 2π] is...The set of solution satisfying inequality |sin x| < is-...xf(sin x)dx is equal to...A particle acted on by constant forces and is displaced from the point to the point . The total work done by the forces ...