SOLUTION: Write the trigonometric expression in terms of sine and cosine, and then simplify to a single trigonometric function or a multiple of one or a number. cot θ/(csc θ &#

Algebra ->  Trigonometry-basics -> SOLUTION: Write the trigonometric expression in terms of sine and cosine, and then simplify to a single trigonometric function or a multiple of one or a number. cot θ/(csc θ &#      Log On


   



Question 921597: Write the trigonometric expression in terms of sine and cosine, and then simplify to a single trigonometric function or a multiple of one or a number.

cot θ/(csc θ − sin θ)=

Thanks!

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
cot%28theta%29%2F%281%2Fsin%28theta%29-sin%28theta%29%29

cot%28theta%29%2F%281%2Fsin%28theta%29-sin%5E2%28theta%29%2Fsin%28theta%29%29

cot%28theta%29%2F%28%281-sin%5E2%28theta%29%29%2Fsin%28theta%29%29

Use the basic Pythagorean Identity,

cot%28theta%29%2F%28cos%5E2%28theta%29%2Fsin%28theta%29%29

%28cot%28theta%29sin%28theta%29%29%2F%28cos%5E2%28theta%29%29

%28%28cos%28theta%29%2Fsin%28theta%29%29sin%28theta%29%29%2F%28cos%5E2%28theta%29%29

cos%28theta%29%2F%28cos%5E2%28theta%29%29

1%2Fcos%28theta%29, and you know what this is.