We know that sin2x=2sinxcosx
(search the net for proof if you wish)
So the original equation becomes
2sinxcosx-sinx=0
The two terms both have sinx that can be taken out to get:
sinx(2cosx-1)=0
This is true if sinx=0 or 2cosx-1=0 , rewritten: cosx=1/2
sinx=0 than x=2kπ
cosx=1/2 than x=π/3+2kπ
where k is an integer
Answer:
rise over run
Step-by-step explanation:
you look at the distance between the 2 points by looking at how many points its goes up or down, and you look at how points it goes from the left to the right or vice versa. but if you don't have a graph to look at, you will want to use the slope formula. look up the slope formula and plug it in.
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S = 
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
Answer: 3
Explanation:
She has 18 and uses half, 18/2=9
So now she has 9 eggs left, she uses one third, 9/3=3 (3 eggs is one third)
Now she only has six eggs left, she used half of those six to make dinner 6/2=3
She now has 3 eggs remaining.
Answer:
Step-by-step explanation:
Graph the parent function y = |x|. This graph has a v shape with vertex at (0, 0) and opens up.
Now translate the entire graph 6 units to the right. The vertex will now be at (6, 0).
Finally, translate this most recent graph 4 units down. The vertex will now be at (6, -4).
