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
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