Question

If t = -2π/3, evaluate (if possible) sin t, cos t, tan t

Answer 1

just type it into your calculator. sin(-2pi/3) etc. and it should give you and answer

Answer 2

i know but work needs to be shown.

Answer 3

using an unit circle. . i need to find what point the terminal side lands on.

Answer 4

sin (-theta) = - sin theta
cos (-theta) = cos theta
tan (-theta) = -tan (theta)

Use this and simply find the values of sin (2π/3) , cos (2π/3) and tan (2π/3) and attach the appropriate sign to it.

Answer 5

so the points can either be. . (0,1) (0,-1) (-1,0) (1,0)

Answer 6

is there a way ou can change -2π/3 into degrees

Answer 7

See, plot a unit circle. -2π/3 will land in 3rd quadrant. So simply make an angle of π/3 with the negative x-axis and draw perpendiculars to the -ve Y and -ve X axis. Each perpendicular will give you the value of Sin -2π/3 (= -root3/2) and cos -2π/3(= -1/2) respectively.
If you are wondering why the cos value has a negative sign, it is because although cos(-theta) = cos theta, but since the angle here is 2π/3 (and cos is negative in the second quadrant) we add another negative sign.

Answer 8

to change -2π/3 to degrees simply multiply it by 180/π. You'll get the value in degrees (=-120)

Answer 9

thanks. so how do i find csc t , sec t , & cot t

Answer 10

Now that you have the values of sin t cos t and tan t. Just use their reciprocals to find the values of cosec t sec t and cot t