The relationship between the cosine and sine graphs is that the cosine is the same as the sine — only it’s shifted to the left by 90 degrees, or π/2. The trigonometry equation that represents this relationship is: cosx= sin (x+π/2)
The graphs of the sine and cosine functions illustrate a property that exists for several pairings of the different trig functions. The property represented here is based on the right triangle and the two acute or complementary angles in a right triangle. The identities that arise from the triangle are called the cofunctionidentities.
Answer: They are inverses of each other
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Explanation:
We need to check two things:
If both of those equations are true, then f and g are inverses of each other.
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Part 1

So far, so good. Now we need to check the other equation mentioned.
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Part 2

That works out as well. Both equations mentioned are true, which confirms the two original functions are inverses of one another.
I had the same question as you and the answer is D
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