Question

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

Answer 1

See below

Explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

`AB=√(26^2-24^2)=√(676-576)=√(100)=10`

Now, you can proceed:

`\sin \theta= (24)/(26)=(12)/(13) \\\\\\\cos \theta= (10)/(26)=(5)/(13) \\\\\\\tan \theta= (24)/(10)=(12)/(5) \\\\\\\csc \theta= (13)/(12) \\\\\\\sec \theta=(13)/(5) \\\\\\\cot \theta=(5)/(12)`