Question

The greatest value sin 701 pie upon 2​

Answer 1

SOLUTION

TO DETERMINE

$\displaystyle\sf{ \sin \frac{701\pi}{2} }$

EVALUATION

We have to find the value of

$\displaystyle\sf{ \sin \frac{701\pi}{2} }$

Now

$\displaystyle\sf{ \sin \frac{701\pi}{2} }$

$\displaystyle\sf{ = \sin (701 \times {90}^{ \circ} )}$

The angle lies in the first quadrant and 701 is odd

Therefore

$\displaystyle\sf{ \sin \frac{701\pi}{2} }$

$\displaystyle\sf{ = \sin (701 \times {90}^{ \circ} )}$

$\displaystyle\sf{ = \sin (701 \times {90}^{ \circ} + {0}^{ \circ} )}$

$\displaystyle\sf{ = \cos {0}^{ \circ} }$

$\displaystyle\sf{ =1 }$

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