If 180- - - - 270- and sin- - -5-13 then 5 2 - - 12 tan- - 13 cosec - -

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Tangent, Cotangent, Secant, Cosecant in Terms of Sine and Cosine

If 180∘ < θ <...

Question

If $180^{\circ}$ < $θ$ < $270^{\circ}$ and $sin θ = - \frac{5}{13}$ then 5 ${cot}^{2} θ + 12 tan θ + 13 c o s e c θ$ =

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180^{o} < θ < 270^{o} a n d s i n θ = - \frac{5}{13},

5 {cot}^{2} θ + 12 t a n θ + 13 c o s e c θ =

180^{\circ} < θ < 270^{\circ}, s i n θ = - 3 / 5, c o t θ = 4 / 3

cos (\frac{θ}{2}) =

sin θ

tan θ = \frac{3}{4}

180^{\circ} < θ < 270^{\circ}

270^{\circ} < A < 360^{\circ}, 90^{\circ} < B < 180^{\circ}, cos A = \frac{5}{13}, tan B = - \frac{15}{8}

sin (A + B) =

\sqrt{3}

\frac{1}{\sqrt{3}}

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