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lesya692 [45]
2 years ago
7

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

complementary angles.
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
6 0

ANSWER

\sin(40)  \degree = 0.6428

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

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