To further justify the Cofunction Theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigon

iohanetc 2021-02-25 Answered
To further justify the Cofunction Theorem, use your calculator to find a value for the given pair of trigonometric functions. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point.
sec6.7,cosec83.3
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grbavit
Answered 2021-02-26 Author has 109 answers
Use cofunction of the given trigonometric function,
secx=cosec(90x)
Given,
sec6.7
Here x=6.7
sec6.7=cosec(906.7)
=cosec(83.3)
=1.006876
1.0069
Therefore sec6.7=1.0069
Now use cofunction of the given trigonometric function,
cosecx=sec(90x)
Given,
cosec(83.3)
Here x=83.3
cosec83.3=sec(9083.3)
=sec6.7
=1.006876
1.0069
Therefore, cosec83.3=1.0069
We clearly see that trigonometric functions are cofunction of one another.
Sum of the angles of two cofunctions is 90 that is the angles are complementary angles.
Therefore the pair of a trigonometric function is,
(sec6.7,cosec83.3)=(1.0069,1.0069)

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Jeffrey Jordon
Answered 2021-12-14 Author has 2495 answers

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