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Trigonometric Ratios of Allied Angles

Eliminate θ b...

Question

Eliminate θ between the relations tanθ+sinθ=p and tanθ−sinθ=q

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^{'} θ^{'}

tan θ + sin θ = m, tan θ - sin θ = n

\frac{tan θ + sin θ}{tan θ - sin θ} = \frac{sec θ + 1}{sec θ - 1}

sin θ + cos θ = p

tan θ + cot θ = q,

q (p^{2} - 1) =

sec θ + tan θ = p

, then obtain the values of

sec θ, tan θ

sin θ

sec θ + tan θ = p

sec θ - tan θ = \frac{1}{p}

. Hence, find the values of

cos θ

sin θ

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