Find the solutions (cos x)(csc x) = 2cos x.


Find the solutions {eq}(cos x)(csc x) = 2cos x. {/eq}

Trigonometric function

The trigonometric function is the type of function which is used to define the two side length of an object to the angle. The major Trigonometric functions are tangent, sine, and cosine.

Answer and Explanation:

Write the equation.

{eq}\left( {\cos x} \right)\left( {\csc x} \right) = 2\cos x {/eq}

Further solve the above expression.

{eq}\begin{align*} \left( {\dfrac{1}{{\sin x}}} \right) &= 2\\ \sin x &= \dfrac{1}{2}\\ &= \sin 30^\circ \\ x &= 30^\circ \end{align*} {/eq}

Thus, the value of {eq}x {/eq} is {eq}30^\circ {/eq}.

Learn more about this topic:

Trigonometric Identities: Definition & Uses

from Honors Precalculus Textbook

Chapter 23 / Lesson 1

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