# How do you verify #sinx/cosx + cosx/sinx = 1#?

##### 2 Answers

Feb 10, 2016

You can't verify it since it is **not** an identity.

#### Explanation:

You can't since this is **not** true.

To prove that this is not an identity, find one

For example, you can take

As you know,

#sin(pi/3) / cos(pi/3) + cos(pi/3)/sin(pi/3) = (sqrt(3)/2)/(1/2) + (1/2)/(sqrt(3)/2) = sqrt(3)/1 + 1 / sqrt(3) = 4 / sqrt(3) != 1 #

Thus, this equation is **not** an identity.

Feb 10, 2016

The given equation is **not true**

and therefore can not be verified.

#### Explanation:

As an obvious counter-example

if