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Trignometry

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11 Nov 2011 11:25:11 IST

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If sin a+cos a=m and sec a+cosec a=n, Prove that:- n(m^2 -1)=2m.

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Ankur Srivastava

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Joined: 11 Nov 2011

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11 Nov 2011 11:41:35 IST

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LHS

sec a+cosec a(( sin a+cos )^2-1)

sec a+cosec a(sin^2a+cos^2a+2sinacosa-1)

sec a+cosec a(1+2sinacosa-1)

sec a+cosec a(2sinacosa)

seca*2sinacosa+cosa*2sinacosa

1/cosa*2sinacosa+1/sina*2sinacosa

2sina+2cosa

2(sin a+ cos a)

2m=RHS

Proved

Anmol Seth

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12 Nov 2011 09:09:49 IST

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thanks bhaiya.......

Krishna Gopal Singh

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Joined: 29 Dec 2006

Posts: 5153

26 Jan 2012 07:18:42 IST

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n*(m^2-1) = (secA+cosecA)*2sinAcosA = 2*(sinA+cosA) = 2m

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