Question

Which of the following expressions is equal to tan155°?

a.) tan55°

b.) tan25°

c.) -tan25°

Answer 1

The equal expression to tan155 is -tan25.

Hope this helps :)

Answer 2

Answer:

$tan (155^{\circ})= -tan 25^{\circ}$

Step-by-step explanation:

Given :$Tan 155^{\circ}$

To Find: Which of the following expressions is equal to $Tan 155^{\circ}$

Solution:

Using identity : $tan (180^{\circ}-x)= -tan x$

$Tan 155^{\circ}$

We can rewrite it as $Tan (180^{\circ}-25^{\circ})$

Substitute x = 25 in identity

So, $tan (180^{\circ}-25^{\circ})= -tan 25^{\circ}$

$tan (155^{\circ})= -tan 25^{\circ}$

Hence Option C is correct.