## Related questions with answers

Question

Match the trigonometric expression with its simplified form. (a) sec x, (b) -1 (c) cot x, (d) 1, (e) -tan x, (f) sin x. $\frac{\sin (-x)}{\cos (-x)}$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2We know: $\ \forall x, \ \sin(-x)=-\sin x, \ \cos (-x)=\cos x$.

So,

$\begin {aligned} \frac {\sin (-x) } {\cos (-x) }&=\frac {-\sin x } { \cos x} \\[12pt] &=\boxed {-\tan x } \end {aligned}$

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create a free account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### Principles of Mathematics 10

1st Edition•ISBN: 9780070973329Brian McCudden, Chris Dearling, Wayne Erdman1,429 solutions

#### Algebra and Trigonometry: Structure and Method, Book 2

1st Edition•ISBN: 9780395977255 (1 more)Brown, Dolciani, Kane, Sorgenfrey8,447 solutions

#### Cambridge IGCSE Mathematics: Core and Extended

3rd Edition•ISBN: 9781444191707Ric Pimentel1,773 solutions

## More related questions

1/4

1/7