May 18, 2018 · 0 Apply the definition: tan(x) = \\frac{sin(x)}{cos(x)} So, tan(-pi) = \\frac{sin(-pi)}{cos(-pi)} Actually, you may notice that -pi and pi identify the same angle, since you're making half of a turn, either clockwise or counterclockwise, but still ending at (-1,0). So, we may simplify the expression into tan(-pi) = tan(pi) = \\frac{sin(pi)}{cos(pi)} Now, pi is a known value for …

Apr 15, 2015 · The angles of an equilateral triangle have angles of π 3 (radians) From the diagram below (which uses the Pythagorean Theorem for the value √3) and the definition of tan(..) we can see that tan(π 3) = √3

May 13, 2016 · By evaluate I am assuming you mean give the exact value Obviously from a calculator the tan(π 3) ≈ 1.732 But to obtain the exact value we can use the following Exact value triangle From this triangle we can obtain the exact values for sin/cos/tan of the angles π 3 and π 6. These are very useful and appear on many occasions so worth memorising for future use. …

Oct 7, 2015 · Find tan (pi/6) on the trig unit circle Ans: √3 3

Oct 29, 2015 · Find exact value of tan (pi/12) Ans: 2 - sqrt3 Call tan (pi/12) = tan x tan 2x = tan (pi/6) = sqrt3/3 = 1/sqrt3 Apply the trig identity: tan 2x = (2tan x)/(1 - tan^2 x) 1/sqrt3 = (2tan x)/(1 - tan^2 x) 1 - tan^2 x = 2sqrt3tan x Solve the quadratic equation: tan^2 x + 2sqrt3tan x - 1 = 0 D = d^2 = b^2 - 4ac = 12 + 4 = 16 --> d = +- 4 tan x = -(2sqrt3)/2 +- 4/2 = - sqrt3 +- 2 Since tan …

Jul 21, 2015 · (2sqrt (5))/5 First thing to note is that every color (red)tan function has a period of pi This means that tan (pi+color (green)"angle")-=tan (color (green)"angle ...

Aug 13, 2016 · Using unit circle and trig table of special arcs --> tan(4π 3) = tan(π 3 +π) = tan(π 3) = √3

Mar 1, 2018 · How do you write in terms of theta tan (theta-pi/6)? Thanks.

Dec 14, 2016 · Check your calculator to make sure it is set in radians, rather than degrees. tan (pi/9)=.363

Aug 13, 2016 · How do you evaluate tan(π 2 + π 6). cot(π − π 6). cos(π 2 − π 6)?