Question

Given the value of cos 50° ? 0.6428, enter the sine of a complementary angle. Use an expression relating trigonometric ratios of complementary angles.

Answer 1

`\sin(40) \degree = 0.6428`

Step-by-step explanation

The sine and cosine ratios are complementary.

This means that:

`\cos(x \degree) = \sin(90 - x) \degree`

We were given that,

cos(50°)=0.6428

We want to find the sine of the complement of this angle.

`\cos(50\degree) = \sin(90 -5 0) \degree`

`\cos(50\degree) = \sin(40) \degree`

This implies that,

`\sin(40) \degree = 0.6428`