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The simplified form is
.
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Bonus Knowledge
Did you know that
and
are functions that describe angles in a right triangle? Specifically,
is the ratio of the opposite side to the adjacent side, while
is the reciprocal of the cosine ratio, which is the ratio of the hypotenuse to the adjacent side. So, when you simplify
, you’re actually working with triangles!
When you simplify
, it becomes
, which simplifies down to
. Always remember to look for relationships between trigonometric functions; they can lead to quick and easy simplifications!