I'll write "x" instead theta.
sin x + 1 = cos(2x)
formula: cos(2x) = 1 - 2sin²x
sin x + 1 = 1 - 2sin²x
2sin²x + sin x = 0
sin x (2sin x + 1) = 0
sin x = 0 or sin x = -1/2
x1 = πk and x2 = -π/6 + 2πk and
x3 = 5π/6 + 2πk
for domain 0≤x<2π :
x1 = 0 (for k=0 in x1)
x2 = π (for k=1 in x1
x3 = 11π/6 (for k=1 in x2)
x4 = 5π/6 (for k=0 in x3).
k is an integral.
EXPLANATION:
The decimal number that is greater is the one with the largest integer part. If they have the same integer part, the first different decimal place is compared.
Now we are going to order the numbers of the exercise,
The correct order is:
-90.98
-90.9
-90.089
-90
-89.89
Answer: $75 + $65w ≥ $635
Step-by-step explanation:
$635 is your goal and how much money you should earn
$75 is your already saved money
$65 is how much you're going to save every week
Ask yourself, how many weeks do you have to save money before you reach your goal of $635. Since we don't know this value, it's a variable, w.
(6t-4) + (6t-4) + (6t-4) + (6t-4)
4(6t-4)
24t-16
