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# Express the values of trigonometric functions at allied angles of an angle $x$ in terms of values of $x$.

Last updated date: 12th Sep 2024
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Hint: In order to express the values of trigonometric functions at allied angles of an angle $x$, we must not consider the radians to express them instead we must we using the values of angles in degrees in the terms of angle $x$. We can find the values of the allied angles using the trigonometric functions.
Now let us express the values of trigonometric functions at allied angles of an angle $x$ in terms of values of $x$.
$-{{x}^{\circ }},{{90}^{\circ }}\pm x,{{180}^{\circ }}\pm x,{{270}^{\circ }}\pm x,{{360}^{\circ }}-x$
Hence, we have found the allied angles in terms of angle $x$.
Note: We can also express the allied angles in terms of radians and with respect to $\theta$. The angles are to be properly braced as if not done correctly, we obtain a completely different value of the angle. In order to find the values of allied angles, we must have a grip on trigonometric functions thoroughly.