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})