Find the exact value of the trigonometric function sec ((-9pi)/4) .

zi2lalZ

zi2lalZ

Answered question

2020-11-26

Find the exact value of the trigonometric function sec(9π4) .

Answer & Explanation

izboknil3

izboknil3

Skilled2020-11-27Added 99 answers

We know that
sec(x)=sec(x)
Therefore,
sec(9π4)=sec(9π4)
Rewriting the above trigonometric function,
sec(9π4)=sec(8π+π4)
=sec(8π4+π4)
=sec(2π+π4)
We know that 2π+θ lies in first quadrant and in first quadrant all trigonometric functions are positive.
Therefore,
sec(2π+π4)=sec(π4)
=2
Hence, exact value of given trigonometric function is 2
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?