Question

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Let θ be an angle such that cos(θ)=−8/9 and cot(θ)<0.
Find the exact values of tanθ and sinθ.

Answer 1

Find the value of θ,
θ = arccos -8/9 = 152.734 deg
You can substitute this value for the requirement.
tan 152.734 = -0.51539
sin 152.734 = 0.45812