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Bogdan [553]
3 years ago
14

Find all values of x in the interval [0, 2π] that satisfy the equation. (enter your answers as a comma-separated list.) 6 sin(2x

) = 6 cos(x)
Mathematics
1 answer:
anygoal [31]3 years ago
6 0

6 sin 2x = 6 cos x Using the identity sin 2x = 2 sin x cos x:-

12 sin x cos x = 6 cos x

6 cos x ( 2 sin x - 1) = 0

either 6 cos x = 0 or 2 sin x - 1 = 0 so sin x = 1/2

x = pi/2, 3pi/2 , pi/6, 5pi / 6

answer is ( pi/6, pi/2, 5pi/6, 2pi/2)


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Help me on this . It’s important
bixtya [17]

Answer:

The answer is 16.

Step-by-step explanation:

6 x 3 = 18

18 - 2 =16

5 0
3 years ago
Read 2 more answers
Let g(x)= -3x and h(x) x^2+3 Find (g°h)(0)
raketka [301]
<h3>Answer is   -9</h3>

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

Work Shown:

(g°h)(x) is the same as g(h(x))

So, (g°h)(0) = g(h(0))

Effectively h(x) is the input to g(x). Let's first find h(0)

h(x) = x^2+3

h(0) = 0^2+3

h(0) = 3

So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.

Now let's find g(3)

g(x) = -3x

g(3) = -3*3

g(3) = -9

-------

alternatively, you can plug h(x) algebraically into the g(x) function

g(x) = -3x

g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)

g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3

g( h(x) ) = -3x^2 - 9

Next we can plug in x = 0

g( h(0) )  = -3(0)^2 - 9

g( h(0) ) = -9

we get the same result.

7 0
3 years ago
Is the equation conditional, an identity, or a contradiction? y - 11 + 3y = 6y + 4
ipn [44]

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5

8 0
3 years ago
What is the length of line AB? Given Line AB = 4x line BC = 2x + 6
erica [24]
The answer to this is 16.
6 0
3 years ago
The ages of three cousins are consecutive even whole numbers. The sum of the youngest and oldest is 16. How old is the oldest co
PilotLPTM [1.2K]
The oldest cousin should be 10. If their ages are consecutive even whole numbers, then the younger cousins should be 2 & 4. 2+4=6+10=16
4 0
3 years ago
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