Answer:
Step-by-step explanation:
You know that ...
- cos(θ)² = 1 - sin(θ)²
- tan(θ) = sin(θ)/cos(θ)
- cosine is negative in the third quadrant (where π < θ < 3π/2)
Using what you know about the relationships of these trig functions, you can find ...
cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4
cos(θ) = -1/2 . . . . . negative square root of 1/4
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tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)
tan(θ) = √3
Answer: C.36
Step-by-step explanation:
The answer is y = 3x - 2. To find slope, you subtract y2 - y1 and x2 - x1. In this case, y2 - y1 = 10 - 4 and x2 - x1 = 4 - 2. You would result in 6/2, which can be reduced to 3. Your slope is 3, so the first and second answer automatically are eliminated. Next, you could either draw it out on a coordinate plane or just visualize it. The starting point that goes through each line would be -2, which means D, or y = 3x - 2, is the correct answer.
In a triangle, the three interior angles always add to 180°
5x + 7x + 8x = 180
20x = 180
x = 180/20
x = 9
m∠1 = 5x = 5*9 = 45°
m∠2 = 7x = 7*9 = 63°
m∠3 = 8x = 8*9 = 72°
Answer:
45°, 63° and 72°
