Question

In a right triangle with acute angle of measure theta, sintheta=1 /2. What is the value of costhetatheta? Draw a diagram as part of your response.

Answer 1

0.866

Explanation:

By definition

`sin \theta = (Opposite)/(Hypotenuse)`

`cos \theta = (Adjacent)/(Hypotenuse)`

We know that
`sin \theta = 0.5`. Inverse of sine is arcsin, so, angle
`\theta` is computed as

`\theta=arcsin(0.5)=30`

Therefore, cosine of
`\theta` is

cos (30°) = 0.866