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:
A.) <em>m ∠ ABD = m ∠ CBD</em>
Step-by-step explanation:
The line segment BD was constructed as an angle bisector, which means that ∠ ABC was split directly in half. This means that the two resulting angles are congruent.
Answer:
5.6x+1.4
Step-by-step explanation:
(-3.5x+1.7)+(9.1x-0.3)=-3.5x+9.1x+1.7-0.3=5.6x+1.4
Answer:
who mows the lawn for 7 dollars :/
Step-by-step explanation: