Railways PYQCBT 1 2016

RRB NTPC · Question 23

The value of (sin θ + cos θ)^2 =

  1. 1 + sin^2θ

  2. sin^2θ + cos^2θ

  3. 1 + 2cosθsinθ

  4. cos^2θ + 1

Show answer & explanation

Answer: (C) 1 + 2cosθsinθ

Explanation

(sin θ + cos θ)² = sin²θ + 2 sin θ cos θ + cos²θ. Since sin²θ + cos²θ = 1, this equals 1 + 2 sin θ cos θ.