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RRB Junior Engineer / DMS / CMA 2019 · Question 117 of 3719

If cos² x + sin x = 5/4, then find the value of 'sin x'.

Mathematics - Trigonometry

  1. Aa. 3/2
  2. Bb. –1/2
  3. Cc. 3/4
  4. Dd. 1/2Correct

Answer: D. d. 1/2

Explanation

cos² x + sin x = 5/4 (1 - sin² x + sinx) = 5/4 Let sin x =a 4a2 - 4a + 1 = 0 4a2 - 2a - 2a + 1 = 0 2 a (2a - 1) - 1 (2a - 1) = 0 (2a-1) (2a - 1) = 0 2a = 1 a=½ Sinx =1/2

Source: RRB JE 2019 CBT-1 (24-May-2019 Shift-1) — ixambee compilation with answer key and solutions · reliable-secondary

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