Answer:
or
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (5,7).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (5,7) and (x,y) = (10,19) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(10 - (5))^2 + (19 - (7)^2 = r^2
(5)^2 + (12)^2 = r^2
25 + 144 = r^2
r^2 = 169
r = 13
Answer:
The simplest form is tan(4x)
Step-by-step explanation:
* Lets revise the identity of the compound angles
-
-
* Lets solve the problem
- Let 9x = 5x + 4x
∴ tan(9x) = tan(5x + 4x)
- Use the rule of the compound angle
∵ ⇒ (1)
∵ ⇒ (2)
∵ tan(9x) = equation (2)
- Substitute (2) in (1)
∴
- Multiply up and down by (1 - tan(5x)tan(4x))
∴
- Simplify up and down
∴
∴
- Take tan(4x) as a common factor up
∴
- Cancel [1 + tan²(5x)] up and down
∴ The answer is tan(4x)