What is greater sin 1 rad or sin 2 rad?
Explain in brief your answer for the above.

Question

What is greater sin 1 rad or sin 2 rad?
Explain in brief your answer for the above.

parthkohli · Answer

The angle that is closer to $\pi/2 \approx 1.57$ will have a greater sine.

rsadhvika · Answer

Hint : 

sin1 = sin(pi-1)
and (pi-1) > 2

aaronandyson · Answer

Thats what I know.
But my teacher WANTS a more "precise" justification.

rsadhvika · Answer

You also need to know that sinx is increasing for 0<x<pi/2 
and decreasing for pi/2<x<pi

aaronandyson · Answer

This is what I got:
1<1.57<2

rsadhvika · Answer

First of all, 
do you get why sin(1) equals sin(pi-1) ?

rsadhvika · Answer

Perhaps drawing a unit circle might help

aaronandyson · Answer

My teacher said I need to further explain :
1<1.57<2

rsadhvika · Answer

Picking up on Parth's reply,

which is closer to 1.57,  
1 or 2 ?

aaronandyson · Answer

I know all of this.
I already did that

1.57 is close to 2 so sin 2 rad is greater .
But I need to write a more detailed explanation.

rsadhvika · Answer

Imagine you're on a giant wheel

rsadhvika · Answer

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