SOLUTION: cos(θ)[{{{sin(theta)*sin(theta)/sin(theta)}}} + {{{(cos^2(theta))/sin(theta)}}}] Prove the statement..

Algebra ->  Trigonometry-basics -> SOLUTION: cos(θ)[{{{sin(theta)*sin(theta)/sin(theta)}}} + {{{(cos^2(theta))/sin(theta)}}}] Prove the statement..      Log On


   

Question 597635: cos(θ)[sin%28theta%29%2Asin%28theta%29%2Fsin%28theta%29 + %28cos%5E2%28theta%29%29%2Fsin%28theta%29]
Prove the statement..
Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!

cos(θ)[sin(θ) + %28cos%5E2%28theta%29%29%2Fsin%28theta%29] = cot(θ)

Get an LCD of sin(θ) in the brackets:

cos(θ)[sin%28theta%29%2Asin%28theta%29%2Fsin%28theta%29 + %28cos%5E2%28theta%29%29%2Fsin%28theta%29]

cos(θ)[sin%5E2%28theta%29%2Fsin%28theta%29 + %28cos%5E2%28theta%29%29%2Fsin%28theta%29]

cos(θ)[%28sin%5E2%28theta%29+%2B+cos%5E2%28theta%29%29%2Fsin%28theta%29]

cos(θ)[1%2Fsin%28theta%29]

cos%28theta%29%2Fsin%28theta%29

cot(θ)

Edwin