## Description

I need help with these questions.

- Convert angles from degrees to radians.
- Identify co-terminal angles.
- Evaluate the six Trigonometric functions using a right triangle.
- Solve trigonometric equations.

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## Explanation & Answer

Hi! Please see the following solution... If you have a question, please let me know :)

Write a short essay explaining to a classmate how to evaluate the six trigonometric functions of

any angle θ in standard position. Include in your essay an explanation of reference angles and

how to use them, the signs of the functions in each of the four quadrants, and the trigonometric

values of common angles. Include figures or diagrams in your essay.

ANSWER:

The six trigonometric functions are sine

(sin), cosine (cos), tangent (tan), cosecant (csc),

secant (sec), and cotangent (cot). These functions

are ratios based on the lengths of the sides of a

right triangle; and these ratios are constant with the

angles.

Sine of an angle can be expressed as the angle's

opposite side over the hypotenuse, or opp/hyp.

Here are all of the formulas:

Sin = opp/hyp;

Cos = adj/hyp; Tan =

opp/adj;

Csc = hyp/opp; Sec = hyp/adj; Cot =

adj/opp;

As we can see, the cosecant, secant, and

cotangent are just inverses of the three primary

functions of sine, cosine, and tangent.

...