Question

sin theta× cosec theta is equals to​

Answer 1

$\sin( \alpha ) \times \csc( \alpha ) \\ \\ = \sin( \alpha ) \times \frac{1}{ \sin( \alpha ) } \\ \\ = 1$


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Answer 2

Given,

sin theta× cosec theta

To Find,

sin theta× cosec theta is equal to​ =?

Solution,

We can solve the question as follows:

It is given that we have to find the value of sin theta× cosec theta.

We know that cosec theta is equal to the reciprocal of sin theta.

$cosec\: theta = \frac{1}{sin\: theta}$        --------- (1)

Therefore,

$sin\: theta$ x $cosec\: theta =$ $sin\: thetha * \frac{1}{sin\: thetha}$.      (From (1))

                                   $= 1$

Hence, sin theta× cosec theta is equal to​ 1.