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3 years ago

Rewrite with only sin x and cos x. sin 3x - cos x

Mathematics

1 answer:

allochka39001 [22]3 years ago

3 0

Answer:

sin (3 x) - cos (x)=

= sin (2x + x) - cos (x)=

= sin 2x * cos x + cos 2 x * sin x - cos x = ( using additional formulas )

= 2 sin x cos² x + ( cos² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - sin² x - sin² x ) sin x - cos x =

= 2 sin x cos² x + ( 1 - 2 sin² x ) sin x - cos x =

= 2 sin x cos² x + sin x - 2 sin³ x - cos x

Answer: B )

Step-by-step explanation:

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Please Help!!! Will give brainliest

qaws [65]

36 cm^2

Step-by-step explanation:

Small window

Length: 2cm

Width: 2cm

Area: 4 cm^2

Big window

Length: 4cm

Width: 3cm

Area: 12 cm^2

Total area of the windows:

(Area of 4 small windows + area of 1 big window)

(4 cm^2 x 4 + 12cm^2)

= 28 cm^2

Above window (approx.)

Rectangle

Length: 3cm

Width: 2cm

Area: 6 cm^2

Triangle

Base: 1cm

Height: 1cm

Area: 2 x 0.5 cm^2 = 1 cm^2

Square (between the triangles)

Length: 1cm

Width: 1cm

Area: 1 cm^2

= 8 cm^2

TOTAL AREA OF ALL WINDOWS

= AREA OF 4 WINDOWS + AREA OF BIG WINDOW + AREA OF ABOVE WINDOW

= 16 cm^2 + 12 cm^2 + 8 cm^2

I hope I made the explanations clear enough to make it easier for you to understand!

8 0

2 years ago

Carlos started at sea level, climbed a

igomit [66]

19-14? I think first you need to find sea level.

8 0

3 years ago

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an

olga55 [171]

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

3 0

3 years ago

Say a population of fish triples every year. The population started with 5 fish. How many years will it

Lostsunrise [7]

Answer:

It should take 10 years

Step-by-step explanation:

In 1 year, if it triples, it should be 15 (population), and so on.

135

405

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3645

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3 0

3 years ago

33. The perimeter of a room is 22m.lf the length of the room is 6.5m, what is its width?

vredina [299]

The formula for perimeter is 2(Length) + 2(width)

Fill in the known information:

22 = 2(6.5)+ 2(width)

Simplify:

22 = 13 + 2(width)

Subtract 13 from both sides:

9 = 2(width)

Divide both sides by 2:

Width = 4.5m

4 0

3 years ago