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Question

Given that tanθ=pq. Find the value of p sin θq cos θp sin θ+q cos θ [3 MARKS]

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Solution

Formula: 1 Mark
Proof: 2 Marks
Given, tan θ=pqp sin θq cos θp sin θ+q cos θ
Dividing the numerator and denominator by cos θ , we get
p sin θq cos θp sin θ+q cos θ=p tan θqp tan θ+q=p×pqqp×pq+q=p2q2qp2+q2q=p2q2p2+q2


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