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serious [3.7K]
1 year ago
8

Use the drop-down menus to complete the solution to the equation cosine (startfraction pi over 2 endfraction minus x) = startfra

ction startroot 3 endroot over 2 endfraction for all possible values of x on the interval [0, 2pi].
Mathematics
1 answer:
Lilit [14]1 year ago
6 0

Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}  \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}

To learn more about trigonometric identities click here brainly.com/question/7331447

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