Aug 19, 2015 · In this case #sin(pi/6) = 1/2# Answer link. Related questions. What are the Special Right Triangles?

Hence, you could say that $\pi/6$ is almost defined to be the number such that $\sin(\pi/6) = 1/2$. Of course, this isn't quite right, but the point is that there's an intricate relationship between the $\sin$ function and $\pi$ that makes the identity $\sin(\pi/6) = 1/2$ true.

Sep 10, 2016 · If you consider an equilateral triangle ABC whose each side is "a",each angle will be 60 degrees,draw perpendicular from point A on side BC as AD, angle DAB=angle DAC=30 degrees.on calculating geometrically you will get BD=a/2,also AB=a. sinBAD = sin(π/6) = …

Apr 16, 2016 · Trig unit circle and trig table --> #sin ((7pi)/6) = sin (pi/6 + pi) = - sin (pi/6) = - 1/2#

Oct 6, 2018 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Sep 30, 2015 · Find sin (pi/6) Ans: 1/2 Trig Table of special Arcs gives --> sin pi/6 = 1/2. However if you still want to find it by using trig identities, then this is the popular way. Apply the trig identity: cos 2a = 1 - 2sin^2 a cos ((2pi)/6) = cos pi/3 = 1/2 = 1 - 2sin^2 (pi/6) 2sin^2 (pi/6) = 1 - 1/2 = 1/2 sin^2 (pi/6) = 1/4 sin (pi/6) = +- 1/2. Since pi/6 is in Quadrant I, its sin is positive , then ...

Jul 5, 2016 · pi/6. If f^-1 is the inverse fun. of a fun.f, then, by defn., f^-1of(x)=f^-1(f(x)=x and, fof^-1(x)=f(f^-1(x)=x. Clearly, sin^-1(sin(pi/6))=pi/6 Otherwise Recall that ...

Sep 27, 2023 · Using that I easily proved $\sin(\pi/6)=1/2$, But my doubt is, do the author wants the reader solve it using some sort of periodicity... is there any other method to prove it using the periodicity definition and all the details given above including the definition of sin using exponential function.

Once you have established that $\sin\frac{\pi}{6}$ is one solution of $$4X^3-3X+1=0$$ as you did, it is not sufficient to solve the equation: Indeed, this equation has 2 solutions, and $\sin\frac{\pi}{6}$ is only one of the two.

Find and proof the exact values to the equations $\sin(\pi/3), \cos(\pi/3), \sin(\pi/6), \cos(\pi/6)$ using the proven equality $\sin(3x)=3\sin(x)-4\sin^3(x)$.