webwork math0200-24581/homework07 15 Homework07: Problem 15 Prev Up Next (1 pt)
ID: 2911780 • Letter: W
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webwork math0200-24581/homework07 15 Homework07: Problem 15 Prev Up Next (1 pt) Let be an angle in the first quadrant, and suppose sin ()-a. Evaluate the following expressions in terms of a. For example, sin (+180)-a. Your answers will be expressions that invove the letter a. Sketch a picture of the angles to help. (a) sin (e+ 360 ) = (D) cos (90-8)- (c) sin (180-0)- (d) sin (360-8) =- (e) cos (270 -0) Click on graph to enlarge Note: You can earn partial credit on this problem Submit Answers Preview Answers You have attempted this problern 0 times. You have 8 attempts remaining.Explanation / Answer
a) sin ( theta + 360 )
sin theta cos 360 + cos theta sin 360
= sin theta
= a
b) cos (90 - theta ) = cos 90 cos theta + sin 90 sin theta
= sin theta
= a
c) sin ( 180 - theta ) = sin 180 cos theta - cos 180 sin theta
= sin theta
= a
d) sin ( 360 - theta ) = sin 360 cos theta - cos 360 sin theta
= - sin theta
= - a
e) cos ( 270 - theta ) = cos 270 cos theta + sin 270 sin theta
= - sin theta
= - a
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