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3 years ago

Solve sin4x cosx-sinx cos4x = sqrt(2)/2 for [0, 2pi)

Mathematics

1 answer:

natita [175]3 years ago

4 0

Answer:

x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12

Step-by-step explanation:

sin(4x) cos x − sin x cos(4x) = √2 / 2

Use angle difference formula.

sin(4x − x) = √2 / 2

sin(3x) = √2 / 2

3x = π/4 + 2kπ, 3π/4 + 2kπ

x = π/12 + 2kπ/3, π/4 + 2kπ/3

x = π/12, π/4, 3π/4, 11π/12, 17π/12, 19π/12

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Franco has $265.87 in his checking account. Then he writes the deposit slip shown. How should Franco enter the deposit in his ch

artcher [175]

Answer:

The answer is the top right one since the total $96.35 is on the deposit side.

( i did this before and got it right btw)

8 0

2 years ago

20 POINTS AND BRAINLIEST!

Advocard [28]

Answer:

<A =21

<B = 84

<c = 75

Step-by-step explanation:

<A =x

<B = 4x

<C =5x-30

The sum of A+B+C = 180

x+ 4x + 5x-30 = 180

Combine like terms

10x -30 = 180

Add 30 to each side

10x-30+30 = 180+30

10x = 210

Divide by 10

10x/10 = 210/10

x= 21

Since x =21 we can find the value of the angles

Substituting x into the equations for angles A, B and C

<A =21

<B = 4x = 4*21 = 84

<C = 5x-30 = 5*21-30 = 105-30 = 75

7 0

2 years ago

Read 2 more answers

The two circles shown above have radii of 8 in. and 2 in.

algol [13]

Answer:

1/4

Step-by-step explanation:

For the first circle 2 x 2in = 4 to find diameter

4 x 3.14 = 12.56

6in x 2 = 12

12 x 3.14 = 37.68

simplify

12.56/37.68

6.28/18.84

3.14/9.42

So the answer is 1/4 since 3.14 x 2 = 6.28

Also since the radius is 2 times longer

3 0

3 years ago

Read 2 more answers

Find the area of the iscoseles triangle first answer=brainliest

blsea [12.9K]

Answer:

$60cm^{2}$

Step-by-step explanation:

so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.

$h^{2} =13^{2} -5^{2}$

$h^{2} =169-25$

$h^{2} =144$

$h=\sqrt{144}$

$h=12$

We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.

area of triangle = $\frac{1}{2}$ x base x height

area of triangle = $\frac{1}{2}$ x 10 x 12

area of triangle = 60

5 0

3 years ago

Read 2 more answers

Fine the sum of 2/9+3/5

Arturiano [62]

Answer:

0.82

اولويات الضرب و القسمه

6 0

2 years ago