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b) If tan θ + sin θp and tan θ-sin θq, then show that p2-q--4-1pq15. Express the rotios cag |
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Answer» Tanθ+sinθ=ptanθ-sinθ=q∴, p+q=tanθ+sinθ+tanθ-sinθ=2tanθp-q=tanθ+sinθ-tanθ+sinθ=2sinθpq=(tanθ+sinθ)(tanθ-sinθ) =tan²θ-sin²θ∴, p²-q²=(p+q)(p-q)=2tanθ.2sinθ=4sinθtanθ4√pq |
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