Verify the identity:

[tex] \cos^2 x - \sin^2 x = 1 - 2\sin^2 x [/tex]

co s 2 x − s i n 2 x = 1 − 2 s i n 2 x R = 1 − 2 s i n 2 x = co s 2 x + s i n 2 x − 2 s i n 2 x = co s 2 x − s i n 2 x = L s i n 2 x + co s 2 x = 1

Answered by Anonymous | 2024-06-10

The identity cos 2 x − sin 2 x = 1 − 2 sin 2 x is verified by simplifying the left side to show it equals the right side. The Pythagorean identity is used to substitute cos 2 x in the left expression. Thus, both sides of the equation are equal, confirming the identity.
;

Answered by Anonymous | 2024-10-01