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Mathematics 18 Online
OpenStudy (anonymous):

Trig help please and thank you! I need to identify the relationship between the sines of 0 degrees, 30 degrees, 45 degrees, 60 degrees, and 90 degrees, which I have listed below. Any and all help is much appreciated!(: sin 0= 0 sin 30= 1/2 sin 45= 1/2 (√(2) ) sin 60= √(3)/2 sin 90= 1

OpenStudy (anonymous):

What exaclty do you mean by relationship?

OpenStudy (anonymous):

There should be a pattern, according to my teacher and textbook. Here's the original question: "Find the exact values of sin 0°, sin 30°, sin 45°, sin 60°, and sin 90° (which I have done). Make all the denominators equal to 2 and all the numerators radicals. Describe the pattern you see."

OpenStudy (anonymous):

@him1618

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

so now that you have all the values

OpenStudy (anonymous):

you can see that the numerators are in series of roots root(1), root(2), root(3), root(4)

OpenStudy (anonymous):

Where do you see that?

OpenStudy (anonymous):

sin 0 is 0 /2 sin 30 is 1/2 which is root(1)/2 isnt it?

OpenStudy (anonymous):

Ohh okay..

OpenStudy (anonymous):

sin 45 is root(2)/2

OpenStudy (anonymous):

Alright, that makes sense.

OpenStudy (anonymous):

similarly sin 90 is 1 = 2/2 = root 4 / 2

OpenStudy (anonymous):

Okay, thank you!

OpenStudy (anonymous):

Dont mention it

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