3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅<span>)
Opening brackets on the right hand side;
= sin2</span>∅ cos ∅ + cos2∅sin<span>∅
</span><span>This simplifies to;
= 2sin</span>∅cos^2∅ + sin∅ (1- 2sin^2∅<span>)
= sin</span>∅ (2cos^2∅ + 1 - 2sin^2∅<span>)
= sin</span>∅ (2(1 - sin^2∅) +1-2sin^2∅<span>)
= 3sin</span>∅ - 4sin^3<span>∅</span>
Answer:
2
Step-by-step explanation:
<em>good luck, i hope this helps :)</em>
The probability that a child with a speaking part is chosen randomly would be 2:5.
17. The letter is J
The letter appears 3 times
18. Lefthanded students = 4 students
<h3>How to determine the factors</h3>
17. We have that 1/4 of the months of the year start with the same letter
It is important to note that:
January, June and July all start with the same letter
The letter is J
The letter appears 3 times
18. Total number of students = 24
5/ 6 are right handed
Right handed students = 24 × 5/ 6 = 4 × 5 = 20 students
Lefthanded students = 24 - righthanded students
Lefthanded students = 24 - 20
Lefthanded students = 4 students
Thus, we can see that the letter that appear in 3 months of the year is J
Learn more about word problems here:
brainly.com/question/13818690
#SPJ1
There are different types of equations of lines.
There are these three main forms, but I'll focus on just 2:
Slope-Intercept Form:
y = mx + b
Where,
"m" = slope
"b" = y-intercept
Point-Slope Form:
y - y1 = m(x - x1)
Where,
"m" = slope
"y1" = A y point on the graph
"x1" = A x point on the graph that correlates with the y value.
y = 6x - 12
Is in the same form of Slope-Intercept:
So,
y = 6x - 12
m = 6
b = -12
So our slope is,
6
Keep in mind if it was a fraction (Example: 6/5, then the slope is 6/5) the slope will be the entire fraction.
Also remember slope is the RISE over the RUN meaning it is the y value over the x value. So in this case we would go UP 6 and right 1 (because 6 is understood as 6/1).
