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
Answer:
G is 35.
Step-by-step explanation:
You can make the equation 93 = g + 58. In order to find the variable g, you have to isolate it. So you can subtract 93 by 58 and you get 35. To double check your work, just plug in your answer in g.
93 = 35 + 58
93 = 93 ✔️
The answer is 35.
multiply all numbers together:
3*6*4*3 = 216 combinations
Answer:
2/9
Step-by-step explanation:
5 dimes and 5 pennies = 10 coins
P( dime) = number of dimes / total
=5/10 = 1/2
keep the dime
4 dimes and 5 pennies = 9 coins
P( penny) = number of penny / total
=4/9
P( dime, keep, penny) = 1/2 * 4/9 = 2/9
