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Yanka [14]
3 years ago
6

Sin4u=2sin 2u cos 2u​

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Answer:

If you've learnt sin(A+B) = sinAcosB + cosAsinB,

sin(4u)

= sin(2u+2u)

= sin(2u)cos(2u) + cos(2u)sin(2u)

= 2 sin(2u) cos(2u).

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Matematicas
Minchanka [31]

Answer:

B

Step-by-step explanation: edge

3 0
2 years ago
For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

5 0
2 years ago
Solve -2/3x > 8 or -2/3x < 4.
vekshin1
<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

8 0
2 years ago
I WILL GIVE BRIANLIEST!!!!!!!!
attashe74 [19]

Answer:

a

Step-by-step explanation:

a

4 0
3 years ago
I need help with both of those questions
mrs_skeptik [129]
Im nor sure which 2 you are reffering to, but I believe 5.1 x 10 to the power of 4 would be 51,000 and the shape with 3 unequal angles is a triangle?
4 0
3 years ago
Read 2 more answers
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