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

iohanetc

Answered question

2021-02-25

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

Answer & Explanation

grbavit

grbavit

Skilled2021-02-26Added 109 answers

Utilize the given trigonometric function's cofunction
secx=cosec(90x) 
Given, 
sec6.7 
Here x=6.7 
sec6.7=cosec(906.7) 
=cosec(83.3) 
=1.006876 
1.0069 
Thus sec6.7=1.0069 
Use the cofunction of the trigonometric function that was provided now 
cosecx=sec(90x) 
Given, 
cosec(83.3) 
Here x=83.3 
cosec83.3=sec(9083.3) 
=sec6.7 
=1.006876 
1.0069 
Hence, cosec83.3=1.0069 
It is evident that trigonometric functions interact with 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)

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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