Question

The period of θ+\sin2θθ+\cos2θ is:

• A. 2π
• B. π
• C. 2π3
• D. π3

Hint:

Reduce expressions to standard trig functions.

Answer 1

The Correct Option is A

Using sum-to-product formulas: 2(3θ)/(2)(θ)/(2) 2(3θ)/(2)(θ)/(2) =(3θ)/(2) Period of x is π, hence (3θ)/(2)=π θ=(2π)/(3) Overall fundamental period is 2π.