SOLUTION: Find a numerical value of sin(x) if cos(x) tan(x)csc^2(x) = 4. I believe it is sin(x) = 4 but I would just like to be sure.

Algebra ->  Trigonometry-basics -> SOLUTION: Find a numerical value of sin(x) if cos(x) tan(x)csc^2(x) = 4. I believe it is sin(x) = 4 but I would just like to be sure.       Log On


   

Question 1013464: Find a numerical value of sin(x) if cos(x) tan(x)csc^2(x) = 4. I believe it is sin(x) = 4 but I would just like to be sure.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
cos%28x%29%28sin%28x%29%2Fcos%28x%29%29%281%2Fsin%28x%29%29%281%2Fsin%28x%29%29=4

%28cos%28x%29sin%28x%29%29%2F%28cos%28x%29sin%28x%29sin%28x%29%29=4

%281%2Fsin%28x%29%29=4

Multiply left and right by sin(x) to get
1=4%2Asin%28x%29
AND DIVIDE LEFT & RIGHT BY 4 to get
highlight%28%281%2F4%29=sin%28x%29%29.

Understand, sines and cosines are never outside the values of -1 to +1.