Home › TS EAMCET › Mathematics › Trigonometry: Trigonometric Equations › How many solutions does sin x + cos x = 1 have i…
How many solutions does sin x + cos x = 1 have in [0, 2π]?
A1
B2
C4
D3
Answer & Solution
Correct answer: D. 3
Writing it as √2 sin(x + π/4) = 1 gives x = 0, π/2 and 2π within the interval.
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?