Question

If cot alpha beta =7/8,evaluate (1+sin alpha beta) (1-sin alpha beta) / (1+cos alpha beta) (1-cos alpha beta)

Answer 1

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Answer : ( 1+ sin alpha beta) (1- sin alpha beta) /( 1+ cos alpha beta) (1- cos alpha beta)

= 1-sin^2 alpha beta/ 1- cos^2 alpha beta

=cos^2 alpha beta/sin^2 alpha beta

=cot^2 alpha beta

=(7/8)^2

=49/64