Trigonometry : Sec, Csc, Ctan

Study concepts, example questions & explanations for Trigonometry

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Example Questions

Example Question #1 : Sec, Csc, Ctan

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

Triangle

What is the secant of ?

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

Explanation:

Since :

 

Example Question #2 : Sec, Csc, Ctan

Soh_cah_toa

For the above triangle, what is  if  and ?

Possible Answers:

Correct answer:

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

Soh_cah_toa

For the above triangle, what is  if  and ?

Possible Answers:

Correct answer:

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 .

Possible Answers:

Correct answer:

Explanation:

Rewrite  in terms of sine and cosine.

Example Question #6 : Sec, Csc, Ctan

Evaluate:  

Possible Answers:

Correct answer:

Explanation:

Evaluate each term separately.

Example Question #4 : Sec, Csc, Ctan

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

 10

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

Find the ratio of Cosine and take the reciprocal.

 

 

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