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
__
Then cosine can be found from ...
cos(2x) = 1/√(tan(2x)² +1) = 1/√((-4/3)²+1) = √(9/25)
cos(2x) = 3/5
__
Sine can be found from these two:
sin(2x) = cos(2x)tan(2x) = (3/5)(-4/3)
sin(2x) = -4/5
There are 1000 milliliters per liter, so...
750 ml x 1 liter/1000 ml =
750/1000 = .75 liters
ten less than the cube of a number n:

As shown in the figure below the answer is the last option:

The roots of the polynomial in the denominator are:


So, the inequality can be written as follows:

From this inequality we can study the signs and get the same conclusion just as shows the graph.
Answer:
option A, C , E
Step-by-step explanation:
- 4 + ( 4 + 5 ) = ( - 4 + 4 ) + 5 [ associative property ]