Trig Idenitites
1/sinθ = ?
cscθ
sin (150°)
1/2 or .5
amplitude for y = -2sin(x/2) + 1
2
give the reference angle for 45°
45°
If there are 4 apples in a basket and you take away 3, how many apples do you have?
3, the ones you took from the basket.
1/cotθ = ?
tanθ
cos(-60°)
1/2 or .5
period length of y = 3cos(x/4)
8π
give the smallest positive angle that is coterminal with 855°
135°
If a couple has 4 daughters, and each of their daughters has a brother, how many kids do they have?
5 kids, 4 daughters who all have the same brother
cotθ = ?
*quotient identity
cosθ/sinθ
sin(1350°)
-1
period length for y = 4tan(1/3(x - π))
3π
which quadrant does the angle 1290° fall in?
Q3
In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
47 days.
1 + cot2θ = ?
csc2θ
tan(- 3π/4)
1
maximum point for y = 4sin(3x) - 9
-5
Give the reference angle for 7π/6
π/6
What needs to be broken before it can be used?
An Egg
1 - sin2θ = ?
cos2θ
tan(- 29π/4)
-1
phase shift for y = 2csc(-x/2 - 2π)
*give direction too
left 4π
Give the reference angle for -13π/4
π/4
You're cooking 3 steaks for dinner. They each need to cook for 10 minutes, 5 on each side. If your pan can only fit two steaks at a time, what is the shortest amount of time you could cook all three steaks in.
15 minutes.