Trigonometry II Extension 1 Topic Test 4

1. a)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
4 sin⁡x cos⁡x+1=0

1. b)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4x-3 cos⁡2x=1

1. c)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
cos⁡4θ cos⁡θ+sin⁡4θ sin⁡θ=1/2

1. d)
Find all angles between 0^o and 〖360〗^o inclusive which satisfy the following equations:
sin⁡3x+sin⁡x=0

2.
If t=tan⁡〖x/2〗, solve for x between 0^o and 〖360〗^o the trigonometric equation
sec⁡x+4 tan⁡x=3

3.
Determine the intervals of values of x from 0 to 2π that satisfy the inequation
2 sin⁡2x>-√3 .