Find values of trig functions

Question

0 less than theta less than pi/2 and sec(theta)=5/3

find values of trig functions. Give extact fraction.

Csc(theta)

sin(theta)

cos(theta)

tan(theta)

cot(theta)

Answer 1

Step 1:

The trigonometric function value is 

Recall basic ratios of trigonometry.

From Pythagorean theorem,

Find the values are .

Substitute and .

Solution:

The value of trigonometric functions are,