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
C
first set up an equation
$52+8n ≥ 144
bacause she can spend 144 or less
solve 144-52=92
92/8=11.5
0.6 as a fraction in simplest form is 3/5
Answer:
2 peoples
Step-by-step explanation:
both of them will 5 sweets
Answer:
D. 34 servings.
Step-by-step explanation:
1 gallon is 8 pints.
4.25 gallons * 8 pints = 34 servings of 1 pint each.
Hope this helps!
