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

If 180∘<θ<270...

Question

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

A

-1

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B

1

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C

2

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Solution

It is 3rd quadrant so only tan and cot are positive

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

Standard XII Mathematics

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