# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

$\cos\left(x-\frac{\pi}{2}\right)=\sin\left(x\right)$

Solving method

Learn how to solve trigonometric identities problems step by step online.

$\cos\left(x-\frac{\pi}{2}\right)=\sin\left(x\right)$

Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity cos(x-3.141592653589793/2)=sin(x). Simplifying. Using the cosine of a sum formula: \cos(\alpha\pm\beta)=\cos(\alpha)\cos(\beta)\mp\sin(\alpha)\sin(\beta), where angle \alpha equals -\frac{\pi}{2}, and angle \beta equals x. The sine of -\frac{\pi}{2} equals -1. Multiply -1 times -1.

$\cos\left(x-\frac{\pi}{2}\right)=\sin\left(x\right)$