The question is somewhat poorly posed because the equation doesn't involve <em>θ</em> at all. I assume the author meant to use <em>x</em>.
sec(<em>x</em>) = csc(<em>x</em>)
By definition of secant and cosecant,
1/cos(<em>x</em>) = 1/sin(<em>x</em>)
Multiply both sides by sin(<em>x</em>) :
sin(<em>x</em>)/cos(<em>x</em>) = sin(<em>x</em>)/sin(<em>x</em>)
As long as sin(<em>x</em>) ≠ 0, this reduces to
sin(<em>x</em>)/cos(<em>x</em>) = 1
By definition of tangent,
tan(<em>x</em>) = 1
Solve for <em>x</em> :
<em>x</em> = arctan(1) + <em>nπ</em>
<em>x</em> = <em>π</em>/4 + <em>nπ</em>
(where <em>n</em> is any integer)
In the interval 0 ≤ <em>x</em> ≤ 2<em>π</em>, you get 2 solutions when <em>n</em> = 0 and <em>n</em> = 1 of
<em>x</em> = <em>π</em>/4 <u>or</u> <em>x</em> = 5<em>π</em>/4
Answer:
Can you be a litte more specific
Step-by-step explanation:
The metric system is another system of measurement used to describe an objects capacity
Outlier would be 25 because is the number that is the farthest away from the other numbers
Answer:
224
Step-by-step explanation:
Number of trains in the roller coaster = 2
Number cars in each train = 7
Total number of cars = Number of trains 
Number of cars in each train = 
= 14
Number of people in each car = 16
Total number of people in 14 cars = Number of people in one car Number of cars = 16 14 = 224
i.e.
Total number of people in the roller coaster in one run = 224
Number of runs made by each train in one hour = 10
Therefore, Total number of people that can ride the roller coaster in one hour can be found by multiplying the number of runs with total number of people in the roller coaster in one run.
224 10 = <em>2240</em>
