Prove the following identities : cot (theta) cos (theta) = csc (theta) - sin (theta) (tan - sin) + (1 - cos) = ( 1 - sec )

2
by kristofer

2015-02-19T21:00:06+08:00

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Cotθcosθ = cscθ - sinθ
(cosθ/sinθ)cosθ = cscθ - sinθ
[(cosθ)^2]/sinθ = cscθ - sinθ
[1-(sinθ)^2]/sinθ = cscθ - sinθ
1/sinθ - sinθ = cscθ - sinθ
cscθ - sinθ = cscθ - sinθ

2015-02-20T19:24:32+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let x=theta(I don't have the theta symbol)

cotxcosx=cscx-sinx
since cot is

since cos²x=1-sin²x
Substitute

Separate the 1-sin²x

cscx-sinx=cscx-sinx

Hope this helps =)