Simplify the expression:
(cos²(x) − sin²(x)) / (1 − sin²(x))
Show answer & explanation
Correct answer: C
Explanation
Has been given :
(cos²x − sin²x) / (1 − sin²x)
According to the formula:
1 − sin²x = cos²x
(cos²x − sin²x) / cos²x
= cos²x / cos²x − sin²x / cos²x
= 1 − tan²x