All categories

3 years ago

Find the value of θ that makes each statement

Mathematics

1 answer:

neonofarm [45]3 years ago

4 0

It’s a sin 0=cos(30)

You might be interested in

Use De Moivre's theorem to express cos 5θ and sin 5θ in terms of sin θ and cos θ.

Sonja [21]

From the de Moivre's we have,

(cosθ+isinθ)^n=cos(nθ)+isin(nθ)

Therefore,

R((cosθ+isinθ)^5)=cos(5θ)I((cosθ+isinθ)^5)=sin(5θ)

Simplifying,

cos^5(θ)−10(sin^2(θ))(cos^3(θ))+5(sin^4(θ))(cosθ)=cos(5θ)

7 0

4 years ago

Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of integration.

Aleksandr-060686 [28]

Take

$u=\ln x\implies\mathrm du=\dfrac{\mathrm dx}x$

$\mathrm dv=4x^2\,\mathrm dx\implies v=\dfrac43x^3$

Then

$\displaystyle\int4x^2\ln x\,\mathrm dx=\frac43x^3\ln x-\frac43\int x^2\,\mathrm dx=\frac43x^3\ln x-\frac49x^3+C$

$=\boxed{\dfrac49x^3(3\ln x-1)+C}$

5 0

4 years ago

Type the correct answer in each box use numerals instead of words if nessasary us /for fractions subtract write your amswer in s

exis [7]

The simplest form of the given expression $3\frac{11}{12} - 1\frac{4}{12}$ is $\frac{31}{12}$

Solution:

Given, expression is 3 11/12 – 1 4/12 $\rightarrow 3 \frac{11}{12}-1 \frac{4}{12}$

We have to find the simplest form of the value derived from the given expression.

Now, first let us solve the given equation.

$3 \frac{11}{12}-1 \frac{4}{12}$

converting mixed fractions to improper fractions.

$=\frac{3 \times 12+11}{12}-\frac{1 \times 12+4}{12}$

$\frac{36+11}{12}-\frac{12+4}{12}=\frac{47}{12}-\frac{16}{12}=\frac{47-16}{12}=\frac{31}{12}$

As there are no common terms to cancel it is in lowest form.

Hence, the lowest form of the given expression is $\frac{31}{12}$

3 0

3 years ago

Find the geometric proof

GrogVix [38]

Answer:

See Explanation

Step-by-step explanation:

Line l is bisector of MO... (given)

$\therefore MN = NO.... (1)$

$\because MN + NO = MO..(M-N-O)$

$\therefore NO + NO = MO..[From \:(1)]$

$\therefore 2NO = MO$

$\therefore NO = \frac{1}{2} MO$

$\therefore NO = \frac{1}{2}\times 24..(\because MO=24)$

$\therefore NO =12$

Thus Proved

6 0

3 years ago

Read 2 more answers

Pls I need help fast and quick it's urgent!

sammy [17]

Answer:

I might be wrong but I think its the last answer choice.

Step-by-step explanation:

I'm sorry if its wrong :(

6 0

3 years ago