Answer:
tan(θ) is undefined.
Step-by-step explanation:
Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:
Since 1 / cos(θ) = sec(θ):
We can square both sides:
From the Pythagorean Identity:
Substitute:
So:
Since we acquire an untrue statement, no solutions exist.
If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).
Answer:
48 people
Step-by-step explanation:
The amount of money we have is 500
We have to pay 15 for insurance and 10 per person
500 =15+10p where p is the number of people
Subtract 15 from each side
500-15=15-15+10p
485 = 10p
Divide by 10
485/10 = 10p/10
48.5 = p
We can have 48 since we cannot have part of a person
Answer:
x = 11√3
y = 22
Step-by-step explanation:
In a 30-60-90 triangle, the hypotenuse is twice the shortest side.
y = 22
The long side is √3 times the short side.
x = 11√3
If you wish to use trigonometric functions:
sin 30° = 11 / y
1/2 = 11 / y
y = 22
tan 30° = 11 / x
1 / √3 = 11 / x
x = 11√3
Answer:
The correct answer is C.) I and II only.
Step-by-step
Here is a math video that might help! https://youtu.be/-EwUcnZx4dI
