what is the exact value of sin 45 degrees as found on the unit circle

Question

mikeymaximum · Answer

@Nerd94

anonymous · Answer

25

anonymous · Answer

that doesn't make any sense it needs to be in terms of pi

ganpat · Answer

unit circle means radius = 1 units..

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sin 45 = x/r (opp/hyp)
r2 = x2 + y2

given, r = 1 and x = y
1 = x2 + y2
1 = 2x2
x = 1/sq r t (2)

sin 45 = 1/sq rt (2)

ganpat · Answer

i am not sure, this is what i can recall :D :p

anonymous · Answer

i wrote this wrong it was supposed to be cos instead of sin… sooooo sorry!! @Ganpat

ganpat · Answer

ha ha haa. can u calculate your self using above formulas ?? not much will change..

anonymous · Answer

i get mixed up between what a and o are

ganpat · Answer

huh?? there is no a and o !!
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anyways, we have formed a right angle triangle inside the circle..  SO angle b has to be 45 degree.. ( 180= 90 + 45 + 45)
also it is a unit circle.. so r = 1..

Now find cos O