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

2016年7月18日 · sqrt3/2 There are 2 ways, that don't need calculator a. Trig table of special arc --> cos (pi/6) = sqrt3/2 b. Use triangle trigonometry Consider a right triangle ABH that is half of an equilateral triangle ABC Angle A = pi/6 = 30^@, Angle B = 60^@, Angle H = 90^@ Leg AH = sqrt3; Leg BH = 1, Hypotenuse AB = 2. We have cos A = cos (pi/6) = (AH)/(AB) = sqrt3/2 === …

2018年4月13日 · Using the diagram below: and the basic definitions: #{: (sin="opposite"/"hypotenuse",color(white)("xxx"),csc=1/sin), (cos="adjacent"/"hypotenuse",,sec=1/cos), (tan ...

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]}

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 ...

2016年9月29日 · cos(pi/6)=sqrt(3)/2 (see image below of bisected equilateral triangle) cos = "adjacent"/"hypothenuse"

2018年1月11日 · sin(pi/6) = 1/2 Start with an equilateral triangle of side 2. The interior angle at each vertex must be pi/3 since 6 such angles make up a complete 2pi circle. Then bisect the triangle through a vertex and the middle of the opposite side, dividing it into two right angled triangles. These will have sides of length 2, 1 and sqrt(2^2-1^2) = sqrt(3). The interior angles …

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.

2018年4月27日 · In this case, #pi/6# refers to the angle in radians, an alternate unit of measurement for angles (#pi# rad = 180°). The point on the unit circle that is intersected by this line is (#sqrt(3)/2#, #1/2#). Finally, the function, sin(#theta#) returns a value equal to the y-coordinate of the point, giving us an answer of #1/2#.

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 …