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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check the picture below.
so, we know the dimensions of the pool, is a 20x10, so its area is simply 200 ft², and we know the walkway is 216 ft², so the whole thing, including pool and walkway is really 200 + 216 ft².
now, as you see in the picture, the dimensions for the combined area is 20+2x and 10+2x, since the walkway is "x" long, therefore,
notice, it cannot be -18, since is a positive length unit.
