The value of for the angles and in standard position in the first quadrant is
We need to find the value of . To proceed, we need to use the compound angle formula
<h3>
Cosine of a sum of two angles</h3>
The cosine of the sum of two angles and is given below
We are given
We need to find and , using the identity
<h3>Find sin(b)</h3>
To find , note that
substituting for in the identity, we get
<h3>Find cos(a)</h3>
To find , note that
substituting for in the identity, we get
<h3>Find the value of cos(a+b)</h3>
We can now make use of the formula
to find .
Learn more about sine and cosine of compound angles here brainly.com/question/24305408