Trig plot the sin and cos functions Plot the sin and cos fun

Plot the sin and cos functions. (a) Fill in the table. (b) Plot the points (x, sin(x)) and connect them with a smooth curve. (c) Plot the points (x, cos(x)) and connect them with a smooth curve. (d) Give the radian measure of each of the angles given.

Solution

-sqrt 3/2

1

For sin x

for cos x

To convert degree to radian we have to multiply the given degree by pi/180

0 degree=0 pi/180=0 radian

30 degree=30 *pi/180=pi/6 radian

60 degree=60*pi/180=pi/3 radian

90 degree=90*pi/180=pi/2 radian

180 degree=180*pi/180=pi radian

210 degree=210*pi/180=7pi/6 radian

270 degree= 270 *pi/180=3pi/2 radian

360 degree= 360*pi/180 =2pi radian

x	sinx	cos x
0	0	1
30	1/2	sqrt 3/2
60	sqrt3 /2	1/2
90	1	0
180	0	-1
210	-1/2	-sqrt 3/2
270	-1	0
360	0	1