Question

If cosec2 theta.(1+cos theta).(1-cos theta) = k, then find the value of k.

Answer 1

Answer:

1

(1+cos theta )(1-cos theta) = 1 - cos^2 theta

cosec^2 theta ( 1^2 - cos^2 theta)

cosec^2 theta × sin^2 theta

(1/sin^2 theta) × sin^2 theta

=1