Home › TS EAMCET › Mathematics › Trigonometry: Trigonometric Equations › What is the general solution of the equation sin…
What is the general solution of the equation sin x = 0, with n an integer?
Ax = 2nπ
Bx = nπ
Cx = (2n+1)π
Dx = nπ/2
Answer & Solution
Correct answer: B. x = nπ
Sine vanishes at every integer multiple of π, including both 2nπ and (2n+1)π, so the full set is x = nπ.
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?