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3 years ago

Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle Identities.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

6 0

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x) = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

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I need help with this. Y=6x -7

Pavlova-9 [17]

The Y is equal to -46 hope this helps made me as brainlist

3 0

3 years ago

A plane begins to descend from a height of 202 meters. The plane decreases in altitude at an average rate of 1.8 meters per seco

stepladder [879]

The plane starts at 202 m.
All altitudes are in meters.
After 1 second, it is at 202 - 1.8
After 2 seconds, it is at 202 - 1.8 * 2
After 3 seconds, it is at 202 - 1.8 * 3
etc.
After x seconds, it is at 202 - 1.8 * x

202 - 1.8 * x is the same as 202 - 1.8x

Answer: F. t(x) = 202 - 1.8x

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3 years ago

Find the perimeter and area of a rectangle with a length of 2 meters and a width of 3 meters

klasskru [66]

Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:

P = 2 x (L + W)

A = L x W

Substituting the given value for the dimensions,

P = 2 x (2m + 3m) = 10 m

A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2.

4 0

3 years ago

Which of the following sets of ordered pairs does not represent a function?

Annette [7]

Answer:

b does ot represent a function

Step-by-step explanation:

6 0

3 years ago

Plzzzzzzzzz help meeeeeeeeeeeeee

zzz [600]

Answer:

Solution; x = - 2, x = 5

Step-by-step explanation:

We are given the following equation 2x^2 + 2x + 12 = 3x^2 - x + 2;

2x^2 + 2x + 12 = 3x^2 - x + 2 ⇒ Subtract 2 from either side,

2x^2 + 2x + 10 = 3x^2 - x ⇒ Add x on either side,

2x^2 + 2x + 10 = 3x^2 ⇒ Subtract 3x^2 on either side, simplifying result,

- x^2 + 3x + 10 = 0 ⇒ Factor out common term - 1,

- ( x^2 - 3x - 10 ) = 0 ⇒ Break expression into groups,

- ( x^2 + 2x ) + ( - 5x - 10 ) = 0⇒ Factor x from x^2 + 2x , and - 5 from - 5x - 10,

- ( x( x + 2 ) ) - 5( x + 2 ) = 0 ⇒ Factor out common term x + 2,

- ( x + 2 )( x - 5 ) = 0 ⇒ Apply Zero Factor Principle,

x + 2 = 0, and x - 5 = 0 ⇒ Simplify,

Solution; x = - 2, x = 5

7 0

3 years ago