# Trigonometry : Sec, Csc, Ctan

## Example Questions

### Example Question #15 : Trigonometric Operations

Find the value of the trigonometric function in fraction form for triangle .

What is the secant of ?

Explanation:

The value of the secant of an angle is the value of the hypotenuse over the adjacent.

Therefore:

### Example Question #16 : Trigonometric Operations

Which of the following is the equivalent to ?

Explanation:

Since :

### Example Question #17 : Trigonometric Operations

For the above triangle, what is  if  and ?

Explanation:

Secant is the reciprocal of cosine.

It's formula is:

Substituting the values from the problem we get,

### Example Question #18 : Trigonometric Operations

For the above triangle, what is  if  and ?

Explanation:

Cotangent is the reciprocal of tangent.

It's formula is:

Substituting the values from the problem we get,

### Example Question #19 : Trigonometric Operations

Determine the value of .

Explanation:

Rewrite  in terms of sine and cosine.

### Example Question #20 : Trigonometric Operations

Evaluate:

Explanation:

Evaluate each term separately.

### Example Question #11 : Secant, Cosecant, Cotangent

Pick the ratio of side lengths that would give sec C.

Explanation:

Find the ratio of Cosine and take the reciprocal.