SOLUTION: Choose the correct right-hand side to make the equation an identity. cos(x) + tan(x)sin(x) = _______ Select one: a. sec(x) b. cos(x) c. sin(x) d. csc(x)

Algebra ->  Finance -> SOLUTION: Choose the correct right-hand side to make the equation an identity. cos(x) + tan(x)sin(x) = _______ Select one: a. sec(x) b. cos(x) c. sin(x) d. csc(x)      Log On


   



Question 1079879: Choose the correct right-hand side to make the equation an identity.
cos(x) + tan(x)sin(x) = _______
Select one:
a. sec(x)
b. cos(x)
c. sin(x)
d. csc(x)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

cos%28x%29+%2B+tan%28x%29sin%28x%29

=cos%28x%29+%2B%28sin%28x%29%2Fcos%28x%29%29sin%28x%29

=cos%28x%29+%2B%28sin%5E2%28x%29%2Fcos%28x%29%29

=cos%5E2%28x%29%2F+cos%28x%29%2Bsin%5E2%28x%29%2Fcos%28x%29+

=%28cos%5E2%28x%29%2Bsin%5E2%28x%29%29%2Fcos%28x%29+

=1%2Fcos%28x%29+

=sec%28x%29
so, your answer is a. sec%28x%29