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Chapter 4: Problem 21

Find a cofunction with the same value as the given expression. $$\sin 7^{\circ}$$

Short Answer

Expert verified
The cofunction with the same value as \(\sin 7^{\circ}\) is \(\cos 83^{\circ}\).

Step by step solution

01

Identify the cofunction of sine

The cofunction of sine is cosine. Therefore, what needs to be found is a value for which the cosine gives the same result as \(\sin 7^{\circ}\).
02

Find out for which angle cosine will give the same value

Since sine and cosine are complementary, the cosine of the complementary angle to 7 degrees, which is \(90 - 7 = 83\) degrees, will give the same value as \(\sin 7^{\circ}\).
03

Write down the final cofunction

Having determined the needed angle, the cofunction with the same value as the given expression \(\sin 7^{\circ}\) is \(\cos 83^{\circ}\).

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