SOLUTION: MULTIPLE CHOICE; Choose the correct right-hand side to make the equation an identity. sin2 x cot2 x = ___________ _ Select one: a. 1 – cos2 x b. 1 + sin2 x c. 1 – sin2

Algebra ->  Finance -> SOLUTION: MULTIPLE CHOICE; Choose the correct right-hand side to make the equation an identity. sin2 x cot2 x = ___________ _ Select one: a. 1 – cos2 x b. 1 + sin2 x c. 1 – sin2      Log On


   

Question 1079875: MULTIPLE CHOICE;
Choose the correct right-hand side to make the equation an identity.
sin2 x cot2 x = _____________
Select one:
a. 1 – cos2 x
b. 1 + sin2 x
c. 1 – sin2 x
d. 1 + cos2 x
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

sin%5E2+%28x%29+cot%5E2+%28x+%29...............since cot%5E2%28x%29+=+%281%2F%28tan%28x%29%29%29%5E2, we have
=sin%5E2+%28x%29+%281%2F%28tan%28x%29%29%29%5E2............and tan%28x%29=sin%28x%29%2Fcos%28x%29, so we have

=sin%5E2+%28x%29+%281%2F%28%28sin%28x%29%2Fcos%28x%29%29%29%29%5E2

=sin%5E2+%28x%29+%28cos%28x%29%2Fsin%28x%29%29%5E2

=sin%5E2+%28x%29%28cos%5E2%28x%29%2Fsin%5E2%28x%29%29................cancel sin%5E2+%28x%29+

=cos%5E2%28x%29...........since cos%5E2%28x%29=1-sin%5E2%28x%29 , we have

=1-sin%5E2+%28x%29

answer: c. 1+-+sin%5E2%28x%29