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Answer: sinθ = 2/√5, cosθ = 1/√5, cosecθ = √5/2, secθ = √5, cotθ = 1/2

\(\cot\theta=\dfrac1{\tan\theta}=\dfrac12\).

\[\sec^2\theta=1+\tan^2\theta=1+4=5\Rightarrow\sec\theta=\sqrt5\]

\(\cos\theta=\dfrac1{\sqrt5}\). Then \(\sin\theta=\tan\theta\cdot\cos\theta=\dfrac2{\sqrt5}\) and \(\csc\theta=\dfrac{\sqrt5}{2}\).

(θ is taken as acute, so all ratios are positive.)

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
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