Trigonometric EquationEasy
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
A line with direction cosines proportional to 2, 1, 2 meets each of the lines x = y + a = z and x + a = 2y = 2z. The co-...If $sin\left( \tan^{- 1}(x\sqrt{2}) \right) = cot\left( \sin^{- 1}\sqrt{1 - x^{2}} \right),x \in (0,1)$, then the value ...Let f : (-1, 1) → IR be such that f(cos 4θ) = for θ ∈ . Then the value(s) of is (are)...If cosec A + cot A = then tan A is equal to -...Find all values of θ lying between 0 and 2π satisfying the equation r sin θ = √3 and r + 4 sin _...