Question

Rewrite each expression as a function of a single angle. sqrt[(1 - cos 170°) / 2]

Answer 1

By using trigonometric rules and expressions we find that the expression $x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }$ is equivalent to single trigonometric expression x = sin 85°.

How to simplify a trigonometric expression

In this question we must apply trigonometric rules to simplify a given number, in which case we can take advantage of this expression:

$\sin \frac{\theta}{2} = \sqrt{\frac{1 - \cos \theta}{2} }$

If we know that $x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }$, then the rewritten expression is:

x = sin 85°

By using trigonometric rules and expressions we find that the expression $x = \sqrt{\frac{1-\cos 170^{\circ}}{2} }$ is equivalent to single trigonometric expression x = sin 85°.

To learn more on trigonometric expressions: brainly.com/question/10083069

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