
What is (pi)/6 radians in degrees? - Socratic
2016年1月2日 · pi/6 radians is 30 degrees A radian is the angle subtended such that the arc formed is the same length as the radius. There are 2pi radians in a circle, or 360 degrees. Therefore, pi is equal to 180 degrees. 180/6=30
Why is cos -pi/6 the same as cos pi/6? - Socratic
2015年5月15日 · In opposition, the ordinate (the y position on the graph)= the sine value =1/2 with an angle of pi/6 and =-1/2 with an angle of -pi/6. Trigonometry Science
How do you find the exact value of #tan(pi/6)#? - Socratic
2016年4月8日 · #tan(pi/6) = (1/2)/(sqrt3/2)#. You should know that dividing by one number is the same as multiplying by its reciprocal, so #(1/2)/(sqrt3/2) = 1/2 * 2/sqrt3# Cancelling the #2# 's and rationalising the denominator, #1/2 * 2/sqrt3 = 1/sqrt3# #1/sqrt3 * sqrt3/sqrt3 = sqrt3/3# Therefore, #tan(pi/6) = sqrt3/3# Using a calculator, #tan(pi/6) approx ...
How do you find the taylor series of f(x)=sinx at a=pi/6? - Socratic
2016年3月30日 · Solution Strategy: Use the definition of Taylor series for a function, #f(x)# given by: #f(x)=f(a) + f^'(a)(x-a)/1! +f^('')(a)(x-a)^2/2! +f^(3)(a)(x-a)^(3)/(3!
How do you evaluate #sin(-pi/6)#? - Socratic
2016年3月23日 · We should first convert to degrees using the conversion ratio 180/pi For the time being, disregard the negative sign. -> pi/6 xx 180/pi = 30 degrees Now, referring to our special triangles, we find that 30 degrees is part of the 30-60-90; 1 sqrt(3), 2 triangle. 30 degrees is opposite the 1, adjacent the side of length sqrt(3), and the hypotenuse is 2. The definition of …
How do you convert theta=pi/6 to rectangular form? | Socratic
2018年7月23日 · #theta = pi/6# is the radial line, from the pole r = 0 ( origin ), in the . the direction #theta = pi/6#, So, its slope is #tan (1/6pi) = 1/sqrt 3#, and so, the Cartesian equation of the half-line is. #y = x/sqrt3, x >=0 and y >=0# See graph. graph{y-x/sqrt3=0[0 10 0 5]}
How do you find the exact value of #cos ((19pi)/6)#? - Socratic
2016年5月7日 · We can subtract #2pi# from #(19pi)/6# and still have the same value of cosine--the angles would be in the same location in the unit circle.
How to plot the polar equation theta = pi/6 on wolframalpha
2020年3月5日 · $\theta=\frac{\pi}{6}$ My question has two parts. Is it a line? I'm pretty sure it is, since the angle theta in the polar equation is a constant, but since I was not able to plot this on wolframalpha, I'm not 100% sure and I would like to confirm this. How do I …
What is (5pi)/6 radians in degrees? - Socratic
2016年1月11日 · To convert from degree to radian we multiply the angle by pi/180. To convert from radian to degree we multiply the angle by 180/pi.
How do you graph #y=cos(x+pi/6)#? - Socratic
2017年10月14日 · Graph y=cos(x) and shift everything to the left by pi/6 We know that sin and cos has a period of 2pi. That is to say that it repeats itself every 2pi units. I would assume you know how to graph a f(x)=cos(x) functions, if not, it should look like this: Now, you need to graph f(x)=cos(x+pi/6). Imagine you have a function f(x) and another function g(x)=f(x+1). What this …