Explain how to use the measures of a right triangle to calculate the exact value of sin 30°. How can this information be used to determine the exact value of sin 60°.

Question

haleyelizabeth2017 · Answer

Um...if you want to...

haleyelizabeth2017 · Answer

I just prefer someone help me understand it......

here_to_help15 · Answer

@Michele_Laino @amistre64

here_to_help15 · Answer

@Data_LG2

amistre64 · Answer

what type of traingle has all 60 degree angles?

haleyelizabeth2017 · Answer

equilateral.

amistre64 · Answer

then lets start there

cut it in half

amistre64 · Answer

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amistre64 · Answer

now how does pythag thrm help us determine the value of x?

haleyelizabeth2017 · Answer

$1^2+b^2=2^2$ so b is $\sqrt3$

haleyelizabeth2017 · Answer

Well, in our case, x is $\sqrt3$

amistre64 · Answer

good, this gives us the ratio of a 30 60 90 triangle

how do we define sin and cos?

haleyelizabeth2017 · Answer

Okay.

haleyelizabeth2017 · Answer

Sine is opposite over hypotenuse, and cosine is adjacent over hypotenuse.

amistre64 · Answer

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amistre64 · Answer

very good

sin(30) is what?

sin(60) is what?

amistre64 · Answer

if orientation confuses you, we can turn the triangle

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haleyelizabeth2017 · Answer

Ah, didn't think about it that way....seems easy enough. 
sin(30)=$\frac{1}{2}$
sin(60)=$\frac{\sqrt3}{2}$

amistre64 · Answer

very good

haleyelizabeth2017 · Answer

Naw....it's all the same to me

amistre64 · Answer

45-45-90 is the other special traingle

haleyelizabeth2017 · Answer

Is that it?  Didn't think it would be that simple.....

amistre64 · Answer

life is simple :)  enjoy it while you can

haleyelizabeth2017 · Answer

:)

haleyelizabeth2017 · Answer

gracias amigo

amistre64 · Answer

denada