Answer:
3/6 + 3/6 | 4/12 + 8/12 | 2.5/6 +3.5/6
Step-by-step explanation:
Answer:
45° 60° 64°
Step-by-step explanation:
Little triangle:180-(64+71)=45
Big triangle :180-(64+56)=60
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
32/6 - 4 5/7
32/6 - 20/7
52/21 = 2 10/21 or 2.47
