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;
[tex]sin\theta = 0.2588[/tex]
For us to get the cosine of the angle, we need to get the value of theta first as shown:
[tex]\theta = sin^{-1}0.2588\\\theta = 14.99^0[/tex]
Next is to get the value of cos theta
[tex]cos \theta = cos 14.99 =0.9659[/tex]
The required value is the angle theta and the value of the cosine of the angle is 0.9659
Learn more here: https://brainly.com/question/13729598
