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Trigonometry 16 Online
OpenStudy (anonymous):

Find the value of the trig function WITHOUT using a calculator.

OpenStudy (anonymous):

sin(pi symbol/3)

OpenStudy (anonymous):

\[\sin(\Pi/3)\]

OpenStudy (anonymous):

use unit circle.... |dw:1385949821685:dw|

OpenStudy (anonymous):

I don't know what that is. :(

OpenStudy (anonymous):

you know sine function?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

right triangle? Pythagorean Theorem?

OpenStudy (anonymous):

yes, I know those.

OpenStudy (anonymous):

the drawing above is the basis of all trigonometric functions...

OpenStudy (anonymous):

for the right triangle above within a circle of radius 1 unit...

OpenStudy (anonymous):

for an angle of \( \pi/3 \)... the adjacent side is always 1/2 the radius of the unit circle...

OpenStudy (anonymous):

by Pythagoran Theorem... we can solve for the opposite side... which is \( \sqrt{3}/2 \)

OpenStudy (anonymous):

hypotenuse of the right triangle is the radius 1 unit of the circle....

OpenStudy (anonymous):

since sine of an angle is opposite divided by hypotenuse... what do you think is the \( \sin (\pi/3)~? \)

OpenStudy (anonymous):

|dw:1385950679481:dw|

OpenStudy (anonymous):

@Laxmath ?...

OpenStudy (anonymous):

|dw:1385950829713:dw|

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