Question 32084
sketch y=3cos(2t+ 40 degrees),0 < t < 360 degrees
CALCULATE THE DATA AS SHOWN BELOW AND PLOT THEM ON A GRAPH.IT WILL
LOOK AS GIVEN BELOW.
T-DEG. T-RADIANS y=3cos(2t+ 40 degrees)
0 0.00 2.30........OK I WILL SHOW ONE EXAMPLE.LET US DO FOR T=30 DEGREES
WE CAN CALCULATE WITH DEGREES IF YOU HAVE CALCULATOR WITH DEGREE
MEASURE.....FIND 2T+40=2*30+40=60+40=100...NOW FIND COS(100) DEGREES IN
CALCULATOR..YOU WILL GET IT AS -0.1733....MULTIPLY WITH 3 TO GET
-0.52...CONTINUE THIS WAY FOR DIFFERENT VALUES OF T STARTING FROM 0
DEGREES AND GOING IN STEPS OF 30 OR 60 DEGREES AS YOU LIKE.
AFTER TABULATING AS SHOWN HERE TAKE A SUITABLE SCALE FOR X AND Y AXIS
AND PLOT THEM FOR T=0 TO 360 DEGREES AS DESIRED....VENUGOPAL
30 0.52 -0.52
60 1.05 -2.82
90 1.57 -2.30
120 2.09 0.52
150 2.62 2.82
180 3.14 2.30
210 3.67 -0.52
240 4.19 -2.82
270 4.71 -2.30
300 5.24 0.52
330 5.76 2.82
360 6.28 2.30