Trigonometry : Sec, Csc, Ctan

Example Questions

Example Question #1 : Sec, Csc, Ctan

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 #2 : Sec, Csc, Ctan

Which of the following is the equivalent to ?

Explanation:

Since :

Example Question #2 : Sec, Csc, Ctan

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 #3 : Sec, Csc, Ctan

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 #5 : Sec, Csc, Ctan

Determine the value of .

Explanation:

Rewrite  in terms of sine and cosine.

Example Question #6 : Sec, Csc, Ctan

Evaluate:

Explanation:

Evaluate each term separately.

Example Question #4 : Sec, Csc, Ctan

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