(cosecQ-sinQ) (secQ-cosQ) =1 ÷tanQ-cotQ
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Answer:
(cosecQ - sinQ) (secQ - cosQ) =1 ÷ ( tanQ + cotQ )
Step-by-step explanation:
To prove : (cosecQ - sinQ) (secQ - cosQ) =1 ÷ ( tanQ + cotQ ) (pls change the sign in your question)
LHS = (cosecQ - sinQ) (secQ - cosQ)
= ( - sinQ) ( - cosQ)
= ( ) ()
= ( ) ()
= ( ) ()
= sinQ.cosQ
= (sinQ.cosQ) / 1
= sinQ.cosQ / (sin²Q+cos²Q)
= 1 / ()
= 1 / ()
= 1 / ()
= 1 / (tanQ+cotQ)
= RHS
=> LHS = RHS
Hence proved
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