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If q cosec θ = p and θ is acute, then what is the value of \(\sqrt{p^2-q^2}\) tan θ ?(a) p (b) q (c) pq (d) \(\sqrt{p^2+q^2}\) |
Answer» (b) q q cosec θ = p ∴ \(\sqrt{p^2-q^2}\) tan θ = \(\sqrt{q^2\,cosec^2\theta-q^2}.tan\,\theta\) = \(\sqrt{q^2\,(cosec^2\theta-1)}.tan\,\theta\) = \(\sqrt{q^2\,cot^2\,\theta}.tan\,\theta\) = q cot θ . tan θ = q. |
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