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11 months ago

If sin 22.6°=5/13, what is cos 67.4° ?

Mathematics

1 answer:

lara [203]11 months ago

3 0

The value of cos 67.4° is 5/13.

According to trigonometric identities used in mathematics, sin of an angle is equal to cos of 90 - the given angle. Mathematically, this means that, suppose we have an angle x, then-

sin(90 - x) = cos x

Here, we are given that sin 22.6° = 5/13. As we can observe that (90 - 67.4) is equal to 22.6, and we need to find the value of cos 67.4° only. Thus we can write the given equation as follows-

sin22.6° = sin(90 - 67.4°)

= cos 67.4°

Thus, sin 22.6° = cos 67.4°

Hence, cos 67.4° = 5/13

Thus, the value of cos 67.4° comes out to be 5/13.

Learn more about trigonometric identities here-

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If sin 22.6°=5/13, what is cos 67.4° ?​

If sin 22.6°=5/13, what is cos 67.4° ?