Subjects trigonometry

Cosine Substitution 6740F3

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1. The problem is to express a trigonometric function using cosine instead of sine or other functions. 2. Recall the identity: $\sin(x) = \cos\left(\frac{\pi}{2} - x\right)$. 3. This means any sine function can be rewritten as a cosine function with a phase shift. 4. For example, if the original function is $y = \sin(x)$, then using the identity, we write: $$y = \cos\left(\frac{\pi}{2} - x\right)$$ 5. This substitution allows us to use cosine instead of sine in any expression. 6. If you have a specific function to convert, apply this identity accordingly. 7. Final answer: use $\cos\left(\frac{\pi}{2} - x\right)$ in place of $\sin(x)$ to express the function using cosine.