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

zi2lalZ 2020-11-26 Answered
Find the exact value of the trigonometric function sec(9π4) .
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Expert Answer

izboknil3
Answered 2020-11-27 Author has 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
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Jeffrey Jordon
Answered 2021-12-14 Author has 2064 answers

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