SOLUTION: Find the exact value for each trigonometric function. cos 675 8. csc (-240) 9. cot 900 10. tan 570 11. sec (-780) 12. cs

Question 587982: Find the exact value for each trigonometric function.
cos 675

8. csc (-240)

9. cot 900

10. tan 570

11. sec (-780)

12. csc 90

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value for each trigonometric function.
cos 675
675-360=315�=reference angle of 45� in quadrant IV where cos>0
cos 675�=cos 45�=√2/2
8. csc (-240)
240-180=60� reference angle in quadrant II where csc <0
csc(-240)=csc 60�=-2/√3=-2√3/3
9. cot 900
900-720=180�
cot 900=cot 180=0
10. tan 570
570-360=210=reference angle of 30� in quadrant III where tan >0
tan 570=tan 30�=√3/3
11. sec (-780)
780-720=60� reference angle in quadrant IV where sec<0
sec (-780)=sec 60�=-2
12. csc 90=1/sin 90�=1/1=1
Note: When given angle is negative rotate clockwise, when positive, rotate counter clockwise.
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