Question

Express g(x)=sin 2x-1 as a cosine function.

Answer 1

The cosine function is related to the sine function through the identity:

cos(x) = sin(x + π/2)

Using this identity, we can express g(x) = sin(2x) - 1 as a cosine function:

g(x) = sin(2x) - 1
= cos(2x + π/2) - 1

Therefore, g(x) = cos(2x + π/2) - 1 is the expression of g(x) as a cosine function.