Question

If sin theta =3/4 , then cosec square theta - cot square theta is

Answer 1

Answer:

1

Step-by-step explanation:

Check the attachment

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Answer 2

Answer:

${cosec}^{2} (θ) - {cot}^{2} (θ) = 1$

Step-by-step explanation:

Note: You don't even need the value of sin(θ)

${cosec}^{2} (θ) - {cot}^{2} (θ)$

$= \frac{1}{ {sin}^{2} (θ)} - \frac{ {cos}^{2}(θ) }{ {sin}^{2}(θ) }$

$= \frac{1 - {cos}^{2}(θ) }{ {sin}^{2} (θ)}$

We know,

1 – cos²(θ) = sin²(θ)

Input it in the equation —

$= \frac{ {sin}^{2} (θ)}{ {sin}^{2}(θ) }$

$= 1$

Hope this helps you :)