SOLUTION: Simplify the following: (a) cos(360 − θ) (b) sin(360 − θ) (c) cos(360 + θ) (d) sin(360 + θ) (e) tan(360 + θ)

Algebra ->  Finance -> SOLUTION: Simplify the following: (a) cos(360 − θ) (b) sin(360 − θ) (c) cos(360 + θ) (d) sin(360 + θ) (e) tan(360 + θ)       Log On


   

Question 1180078: Simplify the following:
(a) cos(360 − θ)
(b) sin(360 − θ)
(c) cos(360 + θ)
(d) sin(360 + θ)
(e) tan(360 + θ)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify the following:
(a)
cos%28360+-theta%29=sin%28360%29+sin%28theta%29+%2B+cos%28360%29+cos%28theta%29+.....sin%28360%29=0 and cos%28360%29=1
cos%28360+-theta%29=sin%28360%29%2A0+%2B+1%2Acos%28theta%29+
cos%28360+-theta%29=cos%28theta%29+

(b)
+sin%28360+-theta%29+=sin%28360%29+cos%28theta%29+-+cos%28360%29%2Asin%28theta%29
+sin%28360+-theta%29+=0%2Acos%28theta%29+-+1%2Asin%28theta%29
+sin%28360+-theta%29+=+-sin%28theta%29

(c)
cos%28360+%2B+theta%29+=cos%28360%29+cos%28theta%29+-+sin%28360%29+sin%28theta%29
cos%28360+%2B+theta%29+=1%2Acos%28theta%29+-+0%2Asin%28theta%29
cos%28360+%2B+theta%29+=cos%28theta%29

(d)
sin%28360+%2B+theta%29+=sin%28360%29%2Acos%28theta%29+%2B+cos%28360%29%2Asin%28theta%29
sin%28360+%2B+theta%29+=0%2Acos%28theta%29+%2B+1%2Asin%28theta%29
sin%28360+%2B+theta%29+=sin%28theta%29

(e)