Mark the Correct alternative in the following: If sin α + sin β = a and cos α – cos β = b, then

Question

Philoid · Accepted Answer

Given, sin α + sin β = a and cos α – cos β = b, then the value of

Consider sin α + sin β = a

As per the expansion of

Now , ----- (1)

Similarly, cos α - cos β = b

As per the expansion of

Now ------ (2)

By dividing equation (1) with (2) we get,

[As ]

Therefore the answer is option B.