Expand the Trigonometric Expression sin(90-x)

$\sin (90 - x)$

Step 1

Apply the difference of angles identity.

$\sin (90) \cos (x) - \cos (90) \sin (x)$

Step 2

Simplify terms.

Simplify each term.

The exact value of $\sin (90)$ is $1$ .

$1 \cos (x) - \cos (90) \sin (x)$

Multiply $\cos (x)$ by $1$ .

$\cos (x) - \cos (90) \sin (x)$

The exact value of $\cos (90)$ is $0$ .

$\cos (x) - 0 \sin (x)$

Multiply $- 1$ by $0$ .

$\cos (x) + 0 \sin (x)$

Multiply $0$ by $\sin (x)$ .

$\cos (x) + 0$

$\cos (x) + 0$

Add $\cos (x)$ and $0$ .

$\cos (x)$

$\cos (x)$

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