3. If cosec A - sin A = p and sec A -cos A = q then prove that (p²q)⅔ + (pq²)⅔ = 1
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Step-by-step explanation:
cosec a - sin a = p
1/sin a - sin a = p
1-sin²a/ sin a = p
= cos² a / sin a = p
similarly for sec a - cos a = q
= sin²a/ cos a = q
apply in the formula (p²q)⅔ + (pq²)⅔
solve by applying
you will get
cos²a + sin²a = 1
hence proved ..
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