Trigonometric Functions · Class 11 · CBSE · Science Mathematics

The value of sin(7π/6) is:

Practice question from Trigonometric Functions (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-063620

The value of sin(7π/6) is:

  1. A.1/2
  2. B.-1/2Correct answer
  3. C.√3/2
  4. D.-√3/2

Solution

7π/6=π+π/67\pi/6=\pi+\pi/6, which lies in the third quadrant, where sine is negative. Therefore, sin⁡(7π/6)=−sin⁡(π/6)=−1/2\sin(7\pi/6)=-\sin(\pi/6)=-1/2.

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