Question

Evaluate the expression Tan (45°) = ?

Answer 1

Tan (45°) = 1

Explanation:

Consider the special 90-45-45 triangle below:

In the right triangle:

• The side length ,opposite angle 45 =1

,

• The side length ,adjacent to angle 45 =1

From trigonometric ratios:

`\tan \theta=\frac{\text{Opposite}}{\text{Adjacent}}`

This then implies that:

`\tan 45\degree=(1)/(1)=1`

The value of tan 45 is 1.