Answer:
- sin(2x) = -4/5
- cos(2x) = 3/5
- tan(2x) = -4/3
Step-by-step explanation:
It may be easiest to start with tan(2x).
tan(2x) = 2tan(x)/(1 -tan(x)²)
tan(2x) = 2(-1/2)/(1 -(-1/2)²) = -1/(3/4)
tan(2x) = -4/3 . . . . . still a 4th-quadrant angle
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Then cosine can be found from ...
cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)
cos(2x) = 3/5
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Sine can be found from these two:
sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)
sin(2x) = -4/5
- Average Rate of Change/Slope Formula:

So using points (6,71) and (2,y), and the slope of 15, plug them into the slope formula as such:

From here we can solve for y. Firstly, solve the subtraction:

Next, multiply both sides by 4:

Next, subtact both sides by 71:

Lastly, multiply both sides by -1, and <u>your final answer will be
, or A.</u>
Answer: The length of AB = 8 units
Step-by-step explanation:
Given: In parallelogram ABCD, Sides A B and D C are parallel.
The length of AB is 4q minus 8 and the length of DC is q + 4.
Since opposite sides of parallelogram is parallel and equal.
So 

Length of AB = 4q-8=4(4)-8=16-8=8 units
Hnece, the length of AB = 8 units
Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.
answer:
Height = Area of parallelogram / base of parallelogram
Step-by-step explanation:
The corresponding height of the parallelogram can be calculated using the general equation below :
Height = Area of parallelogram / base of parallelogram
Kindly input the values you have into the relation to get the corresponding height of the parallelogram.