find cos(θ)ˏsin(θ)ˏtan(θ), if cot (2θ)=5/12 with 0≤2θ≤π

Question

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Answer 1

if cot 2θ = 5/12, the 2θ is in QI or QIII. But, since 2θ<π, we must be in QI.

so, sin2θ = 12/13, cos2θ = 12/13

Now use the half-angle formulas to find sinθ, cosθ, tanθ.