MATHEMATICS HIGH SCHOOL

Solve
Sin(2theta)=1/2

Answers

Answer 1
Answer:      Just change the fraction into an equivalent in the sine function.

sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( \pi )/(6)+2k \pi ) \n 2\theta=( \pi )/(6)+2k \pi \n \theta=( \pi )/(12)+k \pi \n \n sin(2\theta)= (1)/(2) \n sin(2\theta)=sin( ( 15\pi)/(18)+2k \pi ) \n 2\theta=( 15\pi )/(18) +2k \pi \n \theta=( 15\pi )/(36)+k \pi
 
     Therefore:

\boxed {S=(\theta \epsilon R | \theta=( \pi )/(12)+k \pi ~or~ \theta=( 15\pi )/(36)+k \pi, k \epsilon Z)}

If you notice any mistake in my english, please let me know, because i am not native.
Answer 2
Answer: sin(2theta)=1/2

sin(x)=α
x=(-1)^k arcsin α+πk

2theta=(-1)^k  arcsin 1/2 + πk        k∈Z
arcsin 1/2= π/6
2theta=(-1)^k  π/6 + πk        k∈Z
theta=(-1)^k  π/12 + πk/2        k∈Z

Related Questions

Consumer math help!!!??????? Pic attached
Given the two triangles are similar, what are the values of q and t? Round to the nearest hundredth.
4x²+8x=1 by completing the square
An airline flies between 6 airports. How many different flight paths can it offer, if it lands three times and never stays in the same place twice?
Write 0.5 in words.?write 0.5 in words? Write 0.5 in words?

Solve for h if d=1/2hw

Answers

d = 1/2hw
2dhw = 1
h = 1/2dw

i am a mathematics teacher. if anything to ask please pm me

d = 1/2 hw

hw = 2d

h = 2d/w

What is the perimeter of a rectangle with a length of 22 and a width of 68.8?

Answers

Perimeter = (2 lengths) + (2 widths) or 2(length + width).

2 (22 + 68.8) = 2 (90.8) = 181.6
it is 181.6. and now I am typing randomness

Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long

Answers

The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards longis 374.4 yard^2.

What is a regular hexagon?

A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.

The area of a regular hexagon = (1)/(2) * h* p

It is given that apothem is 10.4 yards and side is 12 yards long.

The area of a regular hexagon = (1)/(2) * h* p

                                               = 6× 10.4 × (12/2)

                                                = 374.4 yard^2

Thus the area of a regular hexagon is 374.4 yard^2.

Learn more about regular hexagons;

brainly.com/question/1694257
Regular hexagon consists of 6 congruent triangles.
So the area, A, of the regular hexagon is 6 x the area of one triangle
The area of a triangle is half the base times the height
The height of a triangle is the apothem of the hexagon and the base is the side of the hexagon.

A = 6* 10.4 * (12/2) yard^2 = 374.4 yard^2

For the function f(x)=x^2-12 find (f^-1)(4)

Answers

f(x) = x^2 - 12
y = x^2 - 12
y + 12 = x^2
x = sqrt(y + 12)
(f^-1)(x) = sqrt(x + 12)

(f^-1)(4) = sqrt(4 + 12) = sqrt(16) = 4
(f^-1)(4) = 4

Matematicas alguien me explica cómo hago esto 2 • 4 •5 ​

Answers

¡Claro! Para multiplicar esos números, simplemente tienes que multiplicarlos uno por uno.
Entonces, 2 • 4 es igual a 8, y luego 8 • 5 es igual a 40. ¡Así que el resultado es 40!

A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300

Answers

The merchant product bought a total of 360 individual gloves is C-300.

To find the total number of individual gloves the merchant bought, we need to calculate the product of the number of dozen pairs and the number of gloves in each pair.

30 dozen pairs of gloves mean 30 x 12 pairs of gloves since there are 12 pairs in a dozen.

Now, to find the total number of individual gloves, we multiply the number of dozen pairs by the number of gloves in each pair:

30 dozen pairs x 12 gloves per dozen pair = 360 gloves

To know more about product here

brainly.com/question/33332462

#SPJ6

A-720

30x12x2

There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.
Other Questions
How to find the perimeter and the area of a rectangle on a coordinate plane using the distance formula? : A(3,8) B(5,4) C(-4,-1) D(-6,3) Round to the nearest tenth if necessary.
Use an area model to multiply (4x 3)(2x 5) Fill in the blanks with the correct numbers. X2 x.
At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women, and children at the picnic, how many men were there, in terms of x?A. x/2B. x/3C. x/4D. x/5E. x/6
Q6: Women's heights have a mean of 63.6 inches and a standard deviationof 2.5 inches. What is the z-score corresponding to a woman with a heightof 70 inches? Is this usual or unusual?A. Z-score is 2.56 and is usual. B. Z-score is 2.56 and is unusualC. Z-score is -2.56 and is usual D. Z-score is -2.56 and is unusual