In the figure below, angle y and angle x form vertical angles. Angle x forms a straight line with the 50° angle and the 40° angl
e. Right and solving equations to determine the measure of angle Y.
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Using simpler trigonometric identities, the given identity was proven below.
<h3>How to solve the trigonometric identity?</h3>
Remember that:
Then the identity can be rewritten as:
Now we can multiply both sides by cos⁴(x) to get:
Now we can use the identity:
sin²(x) + cos²(x) = 1
Thus, the identity was proven.
If you want to learn more about trigonometric identities:
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