A year membership to Fun Zone costs $45 plus $1 per visit. A one-month membership costs $5 plus $3 per visit. Which multi-step e
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Given :
Fran drank 19/20 liter of juice.
1 L = 1.06 qt.
To Find :
How many quarts of juice did she drink.
Solution :
It is given that :
Now, amount of water he drink :
Hence, this is the required solution.
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).