Question

explain how knowing that the sine of an angle is approximately 0.2588 enables you to find two possible values for the cosine of the angle. Find these values, and tell what information would be necessary to decide which of the two possible values is the correct cosine of the angle.

Answer 1

The required value is the angle theta and the value of the cosine of the angle is 0.9659

Given the expression of sine of an angle expressed as;

$sin\theta = 0.2588$

For us to get the cosine of the angle, we need to get the value of theta first as shown:

$\theta = sin^{-1}0.2588\\\theta = 14.99^0$

Next is to get the value of cos theta

$cos \theta = cos 14.99 =0.9659$

The required value is the angle theta and the value of the cosine of the angle is 0.9659

Learn more here: brainly.com/question/13729598