If tan θ = 3/2 and cos θ < 0, use the fundamental identities to evaluate the other five trig functions of θ.

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•   Finding

Square both sides of





•   Finding

Substitute back the value of into the equation



•   Finding



•   Finding



•   Finding



I hope this helps. =)

Tags:  trigonometric trig function sine cosine tangent cotangent secant cosecant sin cos tan cot sec csc relation identity trigonometry

The answer would be 13.5 minutes.