Home › AP EAMCET › Mathematics › Trigonometry: Trigonometric Equations › The equation sin²x = sin²α is satisfied for inte…
The equation sin²x = sin²α is satisfied for integer n by which set?
Ax = 2nπ ± α
Bx = nπ ± α
Cx = nπ + α
Dx = nπ + (-1)ⁿα
Answer & Solution
Correct answer: B. x = nπ ± α
Equal squares of sine mean sin x = ± sin α, and combining x = nπ + (-1)^n α with x = nπ - (-1)^n α gives x = nπ ± α.
Related questions
Who introduced the tangent function to Europe in 1467 through trigonometry tables?Which statement about tan(x + kπ) for any integer k is correct?The zeros of the sine function are all integer multiples of which number?A general periodic function can be written as a sum of sine and cosine waves. What is thisWhich scholar proved in 1682 that sin x is not an algebraic function of x?Which Danish mathematician introduced the terms tangent and secant in 1583?Which identity correctly shifts sine by a quarter turn?Which function has vertical asymptotes at every integer multiple of π?