Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Using the cosine of a sum formula: $\cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta)$, where angle $\alpha$ equals $x$, and angle $\beta$ equals $\frac{\pi}{2}$
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$\cos\left(x+\frac{\pi}{2}\right)$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x+pi/2)=-sin(x). Starting from the left-hand side (LHS) of the identity. Using the cosine of a sum formula: \cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta), where angle \alpha equals x, and angle \beta equals \frac{\pi}{2}. The sine of \frac{\pi}{2} equals . The cosine of \frac{\pi}{2} equals .