How many solutions does the equation sin(4x)=1/2 have on the interval (0 2pi)?

1 answer:

8 0

The angle < pi/2 and whose sine is 1/2 is pi/6

so let 4x = pi/6 and we have x = pi/24 which is one solution.

angle in second quadrant = 5pi / 6 so x = 5pi/24 is another solution.

Each of these will give new angles as we revolve around the circle in steps of pi/2 so for x = pi/24 next one will be 13pi/24 and for x = 5pi/24 next one will be 17pi/24 This will be true for all angles less than 48pi/24 (ie 2pi)

so there will be 8 solutions

You might be interested in

What is 2.3181818 as a mixed number

leonid [27]

2 7/22 is the mixed number.

8 0

4 years ago

Read 2 more answers

What is roster or set builder form?

Trava [24]

<span>Roster form is a set of members placed between brackets, with each of the individual elements are separated by commas.
For example :
</span><span> {2, 4, 6, 8, 10, 12, ...}.</span>

4 0

4 years ago

(1.)What is the value of 35−3m , when m = 4?

Len [333]

(1.) 35-3m
m= 4

35-3m
= 35-3(4)
= 35-12 (do the multiple/division first before doing the addition/subtraction)
= 23

C. 23

(2.) 1 + x ÷ 5
x = 80

1 + x ÷ 5
= 1+80÷5
= 1+16
= 17

(3.) mx-y
m=5, x=3, and y=8

mx-y
= 5(3)-8
= 15-8
= 7

(4.) 3a+15+bc−6
a=7, b=3, and c=15

3a+15+bc-6
= 3(7)+15+3(15)-6
= 21+15+45-6
= 75

4 0

4 years ago

What is the area, in square centimeters, of the triangle?

raketka [301]

Answer:

B) 12 cm^2

Step-by-step explanation:

4^2+?^2=5^2

16+?^2=25

?^2=9

?=3

A= (3*4*1/2)+(3*4*1/2)

A= 12 cm^2

6 0

3 years ago

HELP!!!PLS :)

Lady_Fox [76]

Answer:

Hey there!

The correct option is A

How ?

-5 represents x' ,which tells us that the respected option is in Left side
4 represents y, which tells us that the respective option is upward side
and Option A is at left and upward side

hope it helped you:)

8 0

3 years ago

Read 2 more answers