Answer:
Part 1)
Part 2)
Part 3)
Part 4)
Part 5)
Part 6)
Step-by-step explanation:
<u><em>the complete answer in the attached document</em></u>
Part 1) we have
Determine cos (A+B)
we know that
step 1
Find the value of cos(A)
Remember that
substitute the given value
The angle A belong to the I quadrant, the cosine is positive
step 2
Find the value of sin(B)
Remember that
substitute the given value
The angle B belong to the I quadrant, the sine is positive
step 3
Find cos(A+B)
substitute in the formula
Part 2) we have
Determine cos (A-B)
we know that
step 1
Find the value of cos(A)
Remember that
substitute the given value
The angle A belong to the I quadrant, the cosine is positive
step 2
Find the value of sin(B)
Remember that
substitute the given value
The angle B belong to the I quadrant, the sine is positive
step 3
Find cos(A-B)
substitute in the formula
Part 3) we have
Determine cos (A-B)
we know that
step 1
Find the value of cos(A)
Remember that
substitute the given value
The angle A belong to the I quadrant, the cosine is positive
step 2
Find the value of sin(B)
Remember that
substitute the given value
The angle B belong to the I quadrant, the sine is positive
step 3
Find cos(A-B)
substitute in the formula
Part 4) we have
Determine cos (A+B)
we know that
step 1
Find the value of cos(A)
Remember that
substitute the given value
The angle A belong to the I quadrant, the cosine is positive
step 2
Find the value of sin(B)
Remember that
substitute the given value
The angle B belong to the I quadrant, the sine is positive
step 3
Find cos(A+B)
substitute in the formula