what is the value of cosec² theta - cot² theta
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Answer:
cosec x + cot x
= 1/sin x + cos x/sin x
= (1+cos x)/sin x
= [1+ cos^2 (x/2) - sin^2 (x/2)]/2sin (x/2)cos (x/2)
= [2 cos^2 (x/2)]/2sin (x/2)cos (x/2)
= cos (x/2)/sin (x/2)
= cot (x/2).
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