please show stepsworking thanks Simplify Sin theta (cosec theta - s.pdf

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please show steps/working thanks Simplify Sin theta (cosec theta - sin theta) to a single
trigonometric ratio.
Solution
sin theta ( cosec theta - sin theta )
cosec theta = 1/ sin theta
so we can write
sin theta ( 1 / sin theta - sin theta )
= sin theta ( 1 - sin^2 theta / sin theta )
= ( 1- sin^2 th...

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please show steps/working thanks Simplify Sin theta (cosec theta - sin theta) to a single
trigonometric ratio.

Solution

sin theta ( cosec theta - sin theta )
cosec theta = 1/ sin theta
so we can write
sin theta ( 1 / sin theta - sin theta )
= sin theta ( 1 - sin^2 theta / sin theta )
= ( 1- sin^2 theta )
1 - sin^2 theta = cos^2 theta ( by trigonometric identity )
= cos^2 theta