How do I verify/proove this identity? Please help! sinθ + cosθ * cotθ = cscθ

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How do I verify/proove this identity? Please help! sinθ + cosθ * cotθ = cscθ

[From: ] [author: ] [Date: 12-04-04] [Hit: ]

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sinθ + cosθ * cotθ = cscθ

:(

Best answer!
Thank you!

I have 5 problems like these but I'm not sure what I'm supposed to do.
<3

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sinθ + cosθ * cotθ = cscθ

sinθ + cosθ *(cosθ/ sinθ )= cscθ

sinθ/1+ cos^2θ /sinθ=cscθ

(sin^2θ+cos^2θ )/sinθ=cscθ

1/sinθ=cscθ

cscθ=cscθ

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sin Ө + ( cos Ө cot Ө )

sin Ө + cos² Ө / sin Ө

(sin²Ө + cos²Ө) / sin Ө

1 / sin Ө

csc Ө

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LHS: write cotθ in terms of sin and cos then add to sinθ (hint: sin²θ + cos²θ = 1).

1

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