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.
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The result concluded is equivalent to a single rotation transformation of the original object.
<h3>Explanation of how reflection across axis works?</h3>
When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.
The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.
The result concluded is equivalent to a single rotation transformation of the original object.
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Answer:
raising both sides of the equation to a certain power in order to eliminate radicals may result in the creation of extraneous roots
Step-by-step explanation:
