How do you simplify $sin(-x)/cos(-x)$ ?

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Answer 1 · 2017-01-13T15:33:24

$-tanx$

$cosx$ is an even function. This means that $cos(-x)=cosx$

$sinx$ is an odd function. This means that $sin(-x)=-sinx$

$sin(-x)/cos(-x)=-sinx/cosx=-tanx$

Answer 2 · 2017-01-13T15:36:52

This will be equal to $-tan(x)$

Because it is an even function, $cos(-x)=cos(x)$

Similarly, because it is an odd function, #sin(-x)=-sin(x)

So, the above ratio can be written

$-sin(x)/cos(x)$ which is equal to $-tan(x)$

How do you simplify sin(-x)/cos(-x)sin(-x)/cos(-x)?