Big Ideas Math Geometry, 2014
BI
Big Ideas Math Geometry, 2014 View details
5. The Sine and Cosine Ratios
Continue to next subchapter

Exercise 12 Page 498

The sine of an acute angle is equal to the cosine of its complement.

cos 26^(∘)

Practice makes perfect
We want to write sin 64^(∘) in terms of cosine. To do so, let's recall an important property of the sine and cosine of complementary angles.

The sine of an acute angle is equal to the cosine of its complement.

Keep in mind that complementary angles add up to 90^(∘). To find the complement of 64, we subtract our given angle from 90. Now, we can rewrite sin 64^(∘) in terms of cosine. sin 64^(∘) = cos(90^(∘)-64^(∘)) = cos 26^(∘)