Problem 8. 5 pts. Find the exact values of the remaining 5 circular functions for angle θ,

given that sinθ = 1/9 and θ is an angle in the 2
nd quadrant.

2 answers

sinØ = y/r = 1/9 ---> y = 1, r = 9

Make a sketch of the triangle in quad II
so x^2 + y^2 = 9^2
x^2 + 1 = 81
x^2 = 80
x = ±√80 = ±4√5
but we are in II, so x = -4√5

sinØ = 1/9 ---> the given
cosØ = -4√5/9
tanØ = 1/(-4√5) or - √5/20

I am sure you can take over and finish
8, find the exact values of the five remaining trigonometric functions for the acute angle 𝜽
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