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Let Delta =|(sin theta cos phi, sin thet...

Let `Delta =|(sin theta cos phi, sin theta sin phi, cos theta), (cos theta cos phi, cos theta sin phi, -sin theta), (-sin theta sin phi, sin theta cos phi, 0)|` then

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If sin theta+ sin phi= a and cos theta+ cos phi= b , find : cos (theta+ phi) .

If sin theta+ sin phi= a and cos theta+ cos phi= b , find : cos (theta- phi) .

If cos theta+cos phi=a and sin theta - sin phi=b , then: 2cos(theta + phi) =

The value of ((sin theta + sin phi)/(cos theta + cos phi)+ (cos theta - cos phi)/(sin theta - sin phi)) is :

(sin (theta + phi))/( sin theta cos phi) = cot theta tan phi +1.