Find the values of the trigonometric functions of θ from the information given. cot theta = −89, cos theta > 0

preprekomW

preprekomW

Answered question

2021-09-12

Find the values of the trigonometric functions of θ from the information given. cotθ=89,cosθ>0

Answer & Explanation

Bella

Bella

Skilled2021-09-13Added 81 answers

1) 1+cot2θ=csc2θ

1+(8/9)2=csc2θ

1+64/81=csc2θ

csc2θ=145/81

cscθ=+(145)/9

2) sinθ=1/cscθ

sinθ=1/((145)/9)

3) tanθ=1/(cotθ)

tanθ=1/(8/9)

tanθ=9/8

4) tanθ=sinθ/cosθ

cosθ=sinθ/tanθ

cosθ=(9/(145))/(9/8)

cosθ=8/145

5) secθ=1/cosθ

secθ=1/(8/145)

secθ=145/8

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