SOLUTION: Choose the correct right-hand side to make the equation an identity. cos (x)/1+csc (x) - cos (x)/-csc (x) the slash means over I dont know how to write it better sorry.. pleas

Algebra ->  Finance -> SOLUTION: Choose the correct right-hand side to make the equation an identity. cos (x)/1+csc (x) - cos (x)/-csc (x) the slash means over I dont know how to write it better sorry.. pleas      Log On


   

Question 1079877: Choose the correct right-hand side to make the equation an identity.
cos (x)/1+csc (x) - cos (x)/-csc (x)
the slash means over I dont know how to write it better sorry.. please help me thank you

Select one:
a. –2 tan(x)
b. 2 tan(x)
c. –2 cot(x)
d. 2 cot(x)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
cos+%28x%29%2F%281%2Bcsc+%28x%29%29+-+cos+%28x%29%2F%281-csc+%28x%29%29
=>1%2Bcsc+%28x%29=1%2B1%2Fsin+%28x%29 and 1-csc+%28x%29=1-1%2Fsin%28x%29; so, we have

cos+%28x%29%2F%281%2B1%2Fsin+%28x%29%29+-+cos+%28x%29%2F%281-1%2Fsin%28x%29%29+















%28-2sin%28x%29cos%28x%29%29%2F%28sin%5E2%28x%29-1%29+................sin%5E2%28x%29+-1=cos%5E2%28x%29

%28-+2sin%28x%29+cos%28x%29+%29%2Fcos%5E2%28x%29

-+2sin%28x%29+%2Fcos%28x%29

-+2tan%28x%29
answer: a. -2tan%28x%29