This is because

is a multivalued function and is not invertible over its entire domain. We restrict its domain to the interval

, which gives one complete branch of values (or one period).

and thus

is outside the domain.
A different way to go about this is to find the value of

first, then compute the inverse tangent of that result. But finding the trigonometric values of multiples of

is somewhat tricky and perhaps more work than is needed.
Instead, we can use a trigonometric identity to find the value of

whenever its argument falls outside the "standard" branch.
We know that

(because

is

-periodic), so

. And now the function can be inverted, so that
Answer:
The answer is $/Miles
Step-by-step explanation:
- If Vanessa wants to know hoy the car's maintenance costs change as the distance increases, she is analysing the cost of maintaining the car (wich is expressed in dollars , $), when the distance increases (which is measured in miles or metres, or some other distance measure).
- Then, the appropiate units of measure for this problem are dollars (to represent the cost of maintenance) and miles (to represent the distance the car travels).
Step-by-step explanation:
just try this in calculator
Cost of Lamps =
23.59*3= $70.77
Sofa = $769.99
Add them
769.99+70.77
=840.76
Percentage
7.5/100 *840.76
= 63.057
She owes $63.057 to sales tax
You have a rectangle and 2 triangles:
rectangle = 12 *6 = 72
larger triangle on left, find the base:
base = 6 / tan(45) = 6
area = 1/2 x b x h = 1/2 x 6 x 6 = 18
smaller triangle:
area = 1/2 x b x h
1/2 x 2 x 6 = 6
total area:
72 +6 +18 = 96 cm^2