All categories

4 years ago

Sin x - sin (2x) = 0

Mathematics

1 answer:

Svetllana [295]4 years ago

6 0

Sin x = sin 2x
x=2kπ+2x
x=-2kπ
also
x=2kπ+π-2x
3x=2kπ+π
x=2kπ/3+π/3

You might be interested in

Solve the following question

White raven [17]

Answer:

g) $u^{4}\cdot v^{-1}\cdot z^{3}$ , h) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$

1) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$ Given

2) $\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }$ Definition of division

3) $\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)$ Associative property

5) $u^{4}\cdot v^{-1}\cdot z^{3}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ /Result

h) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$

1) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$ Given

2) $\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }$ Definition of division

3) $\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }$ Factorization/Distributive property

5) $\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]$ Modulative and commutative properties/Associative property

6) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ / $\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}$ /Definition of division/Result

3 0

3 years ago

You accept a job with a salary of $35,600. After 6 months, you recieve a 5% raise. What is your new salary?.

dolphi86 [110]

Nothing I'm Poor :D xD

6 0

4 years ago

Read 2 more answers

Is 144 a natural number yes or no

Black_prince [1.1K]

Answer:

is 144 a natural number yes or no

Yes

I'm not sure

5 0

3 years ago

Which of the following is an arithmetic sequence?

Flura [38]

The answer D is correct

7 0

3 years ago

Read 2 more answers

The box plots show attendance at a school dance competition and school badminton games.

Helen [10]

Answer:

The IQR is a better measure of spread for dance competitions than for badminton games.

Step-by-step explanation:

I understand from "Dance Competition box plot has interquartile ranges approximately between 60 and 130" that quartile 1 is at 60 and quartile 3 is at 130, then, the interquartile range (IQR) is 130 - 60 = 70.

Similarly, from Badminton box plot, quartile 1 is at 90 and quartile 3 is at 150, then, the interquartile range is 150 - 90 = 60.

IQR is a measure of statistical dispersion, that is, as IQR increase, spread increase.

4 0

3 years ago

Read 2 more answers