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)
Answer:
Step-by-step explanation:
The figure is a parallelogram
we know that
In a parallelogram opposite angles are congruent and consecutive angles are supplementary
In this problem
----> by consecutive interior angles
solve for x
Answer:
w=12
l=20
Step-by-step explanation:
The area can be found using the following equation:
Given the information provided, we are also told the following:
Therefore, we can plug in our length and our area:
We can solve by using the quadratic formula.
w=12, so w+8=20.