Answer:
a = 
and b = 
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 =
So: a = and b =
Answer:
Step-by-step explanation:
The first thing you need to do is develop the equation. Less in this case means subtract.
On the left side you have
9 times a number which is 9*x
5 less than 9 times a number means 9x - 5
Now you shift to the right
x = 3
x + 19 What you get is
9x - 5 = x + 19 Subtract x from both sides of the equation
9x - x - 5 = 19 Combine both x terms on the left
8x - 5 = 19 Add 5 to both sides.
8x - 5 + 5 = 19 + 5 Combine terms
8x = 24 Divide by 8
x = 24/8
x = 3
The value of the car is $13,510.75 after three years.
Answer:
Using x for Θ:
(sinx - cosx)^2 - (sinx + cosx)^2
= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x)
= - 2 sinx cosx - 2 sinx cosx
= - 4 sinx cosx
= - 2sin(2x)
Step-by-step explanation:
A=cost of 1 adult ticket
c=cost of 1 child ticket
so
9a+2c=252
and
c=a-6
sub a-6 for c
9a+2(a-6)=252
9a+2a-12=252
11a-12=252
add 12 both sides
11a=264
divide both sides by 11
a=24
sub back
c=a-6
c=24-6
c=18
adult ticket costs $24 and child ticket costs $18
