Can you prove: 1+2sinθcosθ / sinθ+cosθ ?
please help..
i tried but cant prove it.. much appreciated if you help
Update:woops i forgot the identity = sinθ+cosθ
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please help..
i tried but cant prove it.. much appreciated if you help
Update:woops i forgot the identity = sinθ+cosθ
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Verified answer
(1 + 2sinx*cosx) / (sinx + cosx).
use 1 = sin^2(x) + cos^2(x)
(1 + 2sinx*cosx) / (sinx + cosx)
= (sin^2x + cos^2x + 2sinx*cosx) / (sinx + cosx)
= (sinx + cosx)^2 / (sinx + cosx)
= sinx + cosx.
How can we prove it. You don't have an identity but only an expression.
Please complete the identity
sin^2x+cos^2x+2sinxcosx/sinx+cosx
=(sinx+cosx)^2/sinx+cosx
=sinx+cosx