SarkariPYQ

SSC CGL 2023 PYQ — Question 64

SSC CGL - 19 July 2023 - Shift 4 • Quantitative Aptitude • Q64

Back to paper

If sinθ - cosθ = 0, then find the value of (sin3θ - cos3θ).

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 0.

Given that   

If sinθ - cosθ = 0,

Formula used

sin3θ - cos3θ = (sinθ - cosθ)(sin2θ + cos2θ + sinθ cosθ)

Calculation

sin3θ - cos3θ = 0 × (sin2θ + cos2θ + sinθ cosθ) = 0