Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
Answer:
A Histogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval "
Here we take a width of 2 units on the bar graph i.e. we consider the interval 0-2, 2-4, 4-6 and so on.
Now we arrange our table in these intervals with the help of the given quantities.
Step-by-step explanation:
Answer:
9) 5y
10) 10 x² - 4
11) 2a ∧5 + 5b
12) 8m +4n + 2
Step-by-step explanation:
9) 8 y - 3 y = 5y
10) 6x² + 4 (x²-1) = 6x²+ 4x²-4 = 10x²-4
11) 4a∧5 - 2a∧5 +4b + b = 2a∧5 +5b
12) 8m +14-12+4n = 8m+4n+2
Standard form: x-y = -3
x & y have to be whole numbers
x has to be positive