NextMockSearch exams, e.g. SSC CGL, UPPSC, Lekhpal
Railways PYQCBT 1 2016

RRB NTPC · Question 19

If sinθ - cosθ = 0, then what is the value of the expression (sin^6θ + cos^6θ)? A. 1 B. 3/4 C. 1/2 D. 1/4

  1. C

  2. B

  3. D

  4. A

Show answer & explanation

Answer: (C) D

Explanation

sin θ = cos θ gives θ = 45°, so sin θ = cos θ = 1/√2. sin⁶θ + cos⁶θ = 1/8 + 1/8 = 1/4.