Rewrite the sine function f(x) = -2 sin (x - pi) +3 as a cosine function. In 2 sentences explain your answer

Answer 1

To rewrite the sine function \( f(x) = -2 \sin(x - \pi) + 3 \) as a cosine function, we can use the identity \( \sin(x) = \cos\left(x - \frac{\pi}{2}\right) \). Thus, we have \( f(x) = -2 \cos\left((x - \pi) - \frac{\pi}{2}\right) + 3 \) or \( f(x) = -2 \cos\left(x - \frac{3\pi}{2}\right) + 3 \).