Question

If sin theta=cos theta,then the value of cosec theta is what

Answer 1

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Answer 2

Answer:

$value \: of \: cosec\theta =\sqrt{2}$

Step-by-step explanation:

$sin\theta = cos \theta$

$\implies sin\theta = sin(90-\theta)$

$\implies \theta = 90 - \theta$

$\implies \theta + \theta = 90$

$\implies 2\theta = 90$

$\implies \theta = \frac{90}{2} = 45\degree$

$Now, value \: of \: cosec\theta = cosec 45\degree\\=\sqrt{2}$

Therefore,

$value \: of \: cosec\theta =\sqrt{2}$

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