If θ

θ

is an acute angle of a right triangle and

tan θ=

3

5

tan⁡ θ=35

, what is the value of

cosθ

cos⁡θ

?

Given:

In a right angle triangle θ is an acute angle and .

To find:

The value of .

Solution:

In a right angle triangle,

We have,

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

In a right angle triangle,

Therefore, the value of is .