SOLUTION: Choose the matching expression for -tan x cos x = A sin^2x/cos^2 x B. 1/sec^2 X C. sin(-x) D. csc^2 x-cot^2 x + sin^2 x E. tan x

Algebra ->  Trigonometry-basics -> SOLUTION: Choose the matching expression for -tan x cos x = A sin^2x/cos^2 x B. 1/sec^2 X C. sin(-x) D. csc^2 x-cot^2 x + sin^2 x E. tan x      Log On


   

Question 1119568: Choose the matching expression for
-tan x cos x =
A sin^2x/cos^2 x
B. 1/sec^2 X
C. sin(-x)
D. csc^2 x-cot^2 x + sin^2 x
E. tan x
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
-tan%28x%29cos%28x%29
-%28sin%28x%29%2Fcos%28x%29%29cos%28x%29
-sin%28x%29
and what more can you understand about the sine function, like if you try to use a Unit Circle for some/any x angle? (sine is an Even function).

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
-tan(x)*cos(x) = -sin(x) = sin(-x).


The matching expression is  C. sin(-x).

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Ignore the answer by @josgarithmetic,   since its final part is incorrect.

The sine is an  ODD  function,  as everybody knows.