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Q. Min value of $\sin \theta \times \cos \theta =?$

Dear Student,

Please find below the solution to the asked query:

We know values of Sin $\mathrm{\theta }$  and Cos $\mathrm{\theta }$  , As :

- 1 $\le$ Sin $\mathrm{\theta }$ $\le$ 1 

And

- 1 $\le$ Cos $\mathrm{\theta }$ $\le$ 1 

So,

Minimum value of : Sin $\mathrm{\theta }$ $\times$ Cos $\mathrm{\theta }$ = -1          ( When we take 1) Sin$\mathrm{\theta }$ = -1 and Cos $\mathrm{\theta }$ = 1  Or 2 ) Sin $\mathrm{\theta }$ = 1 and Cos $\mathrm{\theta }$ = - 1)
Hope this information will clear your doubts about topic.

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