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kl meri exam hai
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Hey Mate,
The relation
(sin x + cosec x)^2 + (cos x + sec x)^2 = 7 + tan^2 x + cot^2x
has to be proved.
Start with the LHS:
(sin x + cosec x)^2 + (cos x + sec x)^2
◆=> sin^2 X + cosec^2X + 2×sinX × cosecX + cos^2X + sec^2X + 2×cosX × secX
◆=> 1 + cosec^2x + 2 + sec^2x + 2
◆=> 1 + 1 + cot^2x + 2 + 1 + tan^2x + 2
◆=> 7 + cot^2x + tan^2x
●This proves that (sin x + cosec x)^2 + (cos x + sec x)^2 = 7 + tan^2 x + cot^2x
Thank-you
☺
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