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
The number of solutions of the equation sin(ex) = 5x + 5-x is...The equations k cos x - 3sin x = k + 1 is solvable only if k belongs to the interval...αis solution of equation 49cosx - 13.(7)cosx + 40 = 0 in [0, 2π], then -...If cos 2B = , then -...Let y = y(x) be the solution of the differential equation sin x dydx + y cos x = 4x, x ∈ (0, π). If y π2...