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College Trigonometry, 2011a

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818 Foundations of <strong>Trigonometry</strong><br />

25. f(x) = √ 2sin(x)+ √ (<br />

2 cos(x)+1=2sin x + π )<br />

(<br />

+1=2cos x + 7π 4<br />

4<br />

)<br />

26. f(x) =3 √ (<br />

3sin(3x) − 3cos(3x) =6sin 3x + 11π<br />

6<br />

27. f(x) =− sin(x)+cos(x) − 2= √ (<br />

2sin x + 3π 4<br />

28. f(x) =− 1 √<br />

3<br />

(2x<br />

2 sin(2x) − 2 cos(2x) =sin + 4π )<br />

3<br />

29. f(x) =2 √ (<br />

3 cos(x) − 2sin(x) =4sin x + 2π )<br />

3<br />

(<br />

=6cos 3x + 4π 3<br />

)<br />

)<br />

+1<br />

)<br />

− 2= √ (<br />

2cos x + π )<br />

− 2<br />

4<br />

(<br />

=cos 2x + 5π 6<br />

(<br />

=4cos x + π )<br />

6<br />

30. f(x) = 3 2 cos(2x) − 3√ 3<br />

(2x<br />

2 sin(2x)+6=3sin + 5π 6<br />

31. f(x) =− 1 √<br />

3<br />

(5x<br />

2 cos(5x) − 2 sin(5x) =sin + 7π )<br />

=cos<br />

6<br />

32. f(x) =−6 √ (<br />

3cos(3x) − 6sin(3x) − 3 = 12 sin 3x + 4π 3<br />

)<br />

33. f(x) = 5√ 2<br />

2 sin(x) − 5√ 2<br />

(x<br />

2 cos(x) =5sin + 7π 4<br />

( x<br />

6 + 5π )<br />

3<br />

( x<br />

)<br />

34. f(x) =3sin − 3 √ ( x<br />

)<br />

3cos =6sin<br />

6 6<br />

)<br />

)<br />

(<br />

+6=3cos 2x + π )<br />

+6<br />

3<br />

(<br />

5x + 2π 3<br />

)<br />

)<br />

(<br />

− 3 = 12 cos 3x + 5π 6<br />

(<br />

=5cos x + 5π 4<br />

( x<br />

=6cos<br />

6 + 7π 6<br />

)<br />

)<br />

)<br />

− 3

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