Prove: sin θ - sin θ•cos2 θ = sin3 θ. You must show all work.
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sin θ - sin θ•сos²θ = sin³ θ
sin θ - sin θ•сos²θ
=sin θ(1-сos²θ)
=sin θ·sin²θ
=sin³ θ
Related Questions
Please solve the math problem... I will mark you brainliest
Morgan found a stone arrowhead. He measured it three times. He measured it as 2 inches to the nearest inch, to the nearest 1/2 inch, and to the nearest 1/4 inch. How can this be? Explain
Amanda composed two songs. The longer song is 126 seconds less than twice the length of the short song. The longer song lasts 286 seconds. How long is the shorter song?
Multiply. start fraction k plus 3 over 4 k minus 2 end fraction dot left parenthesis 12 k squared plus 2 k minus 4 right parenthesis
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Answer:
To find the perimeter of the triangle, you need to add up the three sides of the triangle
/\
1 /__\ 5
9
1+5+9
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Hey!!
Theformulatofindperimeteroftriangleisa+b+c
Forexample:
Ifatrianglehasthesidesof5,4and3respectively,thentofindtheperimeteroftriangle,wehavetousetheformulaa+b+cwhichequalsto12.
Hopeit helps
Goodluck on your assignment
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Answer:
Average speed(S) is given by:
....[1]
where,
D is the total distance and t is the time.
As per the statement:
A gazelle that runs 140 meters in 5.0 seconds.
⇒D = 140 meters and t = 5 seconds
Substitute in [1] we have;
Simplify:
⇒S = 28 m/sec
Therefore, average speed of a gazelle is, 28 m/sec
140 x 5.0 = 700.
But, if you're looking for average m/s you would divide.
140/5 = 28.
If you want meters/hour, you have to multiply the average meters/minute by 60.
140 x 5 x 60 = 4,200.
I'm not sure which one you're looking for but I hope something I wrote helps!
Answers
The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
Find out more at: brainly.com/question/16763389
Final answer:
To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.
Explanation:
To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.
From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.
From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.
From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.
We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.
Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.
Learn more about Algebra here:
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y+6=(x+4)==>y=x-2
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O-16
o -2
O 8
0 10
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Answer:
The last option, 10 is correct
Step-by-step explanation:
f(x) = 3x^2 - 4
f(2) = 3(2)^2 - 4
f(2) = 12 - 4
f(2) = 8
g(x) = 2x - 6
g(8) = 2(8) - 6
g(8) = 16 - 6
g(8) = 10
This means that g(f(2)) is equal to 10
Answer:
Its 10 or D
Step-by-step explanation: