Mathematics

If sin x = 12/13, where 0° 

If sin x = 12/13, where 0° < x < 90°, find the value of 1 – cos(^2)x

  • A.
    25/169
  • B.
    64/169
  • C.
    105/169
  • D.
    144/169
  • E.
    8/13
Correct Answer: Option D
Explanation

(sin x = frac{12}{13})

(cos x = frac{5}{13})

(cos^{2} x = (frac{5}{13})^2 = frac{25}{169})

(1 – cos^{2} x = 1 – frac{25}{169})

= (frac{144}{169})