if tan theta + sin theta is equal to p, 10 theta minus sin theta is equal to q prove that p square minus q square is equal to 4 root PQ
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4
Answer:
Step-by-step explanation:
tanФ+sinФ=p
tanФ-sinФ=q
prove that:
p²-q²=4√pq
solution:
(tanФ+sinФ)²-(tanФ-sinФ)²=4√pq
⇒(tan²Ф+sin²Ф+2tanФsinФ)-(tan²Ф+sin²Ф-2tanФsinФ)
⇒1+2tanФsinФ-1+2tanФsinФ
⇒4tanФsinФ
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