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 .