Which of the following expressions is equal to tan155°? a.) tan55° b.) tan25° c.) -tan25°

Step-by-step explanation:

Given :

To Find: Which of the following expressions is equal to

Solution:

Using identity :

We can rewrite it as

Substitute x = 25 in identity

So,

Hence Option C is correct.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

-2/