Plz help me prove the foloowing trigonometric identities
Asked by sanheeta
31st August 2009,
10:27 PM
Answered by Expert
Answer:
1/ LHS = (cosecA + sinA)(cosecA - sinA)
= (1/sinA + sinA)(1/sinA - sinA)
= [(1 + sin2A)/sinA][(1 - sin2A)/sinA]
= (1 + sin2A)(1 - sin2A)/sin2A
= (1 + sin2A)(cos2A)/sin2A
= cos2A/sin2A + cos2A
= cot2A + cos2A = RHS
2/LHS = secA(1 - sinA)(secA + tanA)
= (secA - secAsinA)(secA + tanA)
= (secA - tanA)(secA + tanA)
= sec2A - tan2A
= sec2A - sec2Asin2A
= sec2A(1 - sin2A)
= sec2A cos2A
= 1 = RHS.
Regards,
Team,
TopperLearning.
Answered by Expert
31st August 2009,
10:52 PM
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