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Determine all six trig functions from one function value and quadrant
Worksheet
Grade Level
Trigonometry
TRIG.47 Determine all six trig functions from one function value and quadrant
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For an angle θ in Quadrant IV with tan(θ) = -√15 over 15, choose the consistent set of all six trigonometric functions.
A
sin(θ) = 1 over 4, cos(θ) = -√15 over 4, tan(θ) = -√15 over 15, csc(θ) = 4, sec(θ) = -4√15 over 15, cot(θ) = -√15
B
sin(θ) = -1 over 4, cos(θ) = √15 over 4, tan(θ) = -√15 over 15, csc(θ) = -4, sec(θ) = 4√15 over 15, cot(θ) = -√15
C
sin(θ) = -1 over 4, cos(θ) = -√15 over 4, tan(θ) = √15 over 15, csc(θ) = -4, sec(θ) = -4√15 over 15, cot(θ) = √15
D
sin(θ) = 1 over 4, cos(θ) = √15 over 4, tan(θ) = √15 over 15, csc(θ) = 4, sec(θ) = 4√15 over 15, cot(θ) = √15
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