Monday

December 22, 2014

December 22, 2014

Posted by **Anonymous** on Thursday, December 11, 2008 at 10:55pm.

- Math/Trigonometry -
**Damon**, Thursday, December 11, 2008 at 11:01pmI do not think it is likely because it is impossible to trisect an angle exactly in geometry. Since you can not do that I do not know how you could make a construction of right triangles that would lead to a triangle with exactly 1/3 of the original angle in it.

- Math/Trigonometry -
**Anonymous**, Thursday, December 11, 2008 at 11:07pmI guess you're right. I was looking forward to finding the value of the sin 1 (deg).

- Math/Trigonometry -
**drwls**, Thursday, December 11, 2008 at 11:18pmThere is the infinite series

sin (x/3) = x/3 - (1/2)(x/3)^2

+ (1/6)(x/3)^3 + ...

-(-1)^n *1/n!* (x/3)^n

(n-> infinity)

Damon has made a good argument that there may be no closed form equation for sin (x/3) in terms of trig functions of x.

I tired Googling sin(x/3) and found nothing

- Math/Trigonometry -
**drwls**, Thursday, December 11, 2008 at 11:24pmFor angles that small, the approximation sin x = x is very good. x must be in radians to use it.

Sin 1 degree = sin pi/180 radian

If you use the first term of the infinite series, that gives you pi/180 = 0.0174533...

The exact value is 0.174524...

**Answer this Question**

**Related Questions**

trigonometry HELP pleasE! - these must be written as a single trig expression, ...

tigonometry - expres the following as sums and differences of sines or cosines ...

Trigonometry - Identities - If tan 2x = - 24/7, where 90 degrees < x < 180...

trigonometry - Use a compound angle formula for cosine to show that cos2x = cos^...

Trigonometry - I need to prove that the following is true. Thanks. csc^2(A/2)=...

Trigonometry - If A + B + C = 180°, Prove that Sinē (A/2) + sinē (B/2) - sinē(C/...

Trigonometry - If A + B + C = 180°, Prove that Sinē (A/2) + sinē (B/2) + sinē(C/...

Trigonometry - Prove the identity sin(x+y+z)+sin(x+y-z)+sin(x-y+z)+ sin(x-y-z...

Math - Trigonometry Identities problem: Prove the following; (tan^2x)(cos^2x...

Precalculus with Trigonometry - Prove or disprove the following identity: (sin(...