All categories

3 years ago

How do you simplify sin2x=cosx

1 answer:

4 0

sin(2x) = cos(x)
2sin(x)cos(x) = cos(x) Expand sin(2x).
2cos(x) 2cos(x) Divide 2cos(x) on each side.
sin(x) = ¹/₂
sin⁻¹[sin(x)] = sin⁻¹(¹/₂) Use sin⁻¹(x) on each side.
x = 30, 150 Find the answer.

You might be interested in

Math question:

Vera_Pavlovna [14]

Answer: 102

Step-by-step explanation:

4 0

3 years ago

consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?

Svet_ta [14]

Answer:

x^2 - 6x + 147 so the coefficient is 1

Step-by-step explanation:

First, simplify the equation.

1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)

2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)

3. Expand -(x-7)(x+7) = -x^2+49

Combine to get (x^2 - 6x)/3 +49

Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.

4 0

3 years ago

Quadrilateral ABCD with AB= 5.5cm,BC= 3.5cm,CD= 4cm,AD= 5cm and <A= 45°.

11111nata11111 [884]

Answer:

⇒ Draw a line segment AB=5.5cm

⇒ Take A as a center and draw an angle of 45

⇒ Cut off AD=5cm

⇒ Take D as a center with radius 4.5cm and draw an arc.

⇒ Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.

⇒ Join BC and CD.

∴ ABCD is a required quadrilateral.

Step-by-step explanation:

hope this helps!

3 0

2 years ago

Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)

ivann1987 [24]

Given :

A = {x: 2x² + 3x - 2 = 0 }
B = {x : x² + 3x - 4 = 0 }

To find :

(A U B ) × (A Π B )

Solution :-

The first set is ,

A ={x : 2x² + 3x - 2 = 0}

Solving the Quadratic equation ,

2x² + 3x - 2 = 0
2x² + 4x - x - 2 = 0
2x( x + 2) -1( x + 2 ) = 0
(2x -1) ( x + 2) = 0
x = 0.5 , -2

Hence ,

A ={0.5, -2}

The second set is ,

B ={ x :x² + 3x - 4 = 0 }

Solving the Quadratic equation ,

x² + 3x - 4 = 0
x² + 4x - x - 4 = 0
x( x + 4)-1 ( x +4) = 0
(x + 4) ( x -1) = 0
x = 1 , -4

Hence ,

B ={1,4}

Now ,

A U B = { 0.5 , 1 , 4 , -2}
A Π B = {∅ }

Since AΠ B is a null set , hence ,

A × B = {∅}

8 0

3 years ago

Enter the sum of numbers as a product of their GCF.

adelina 88 [10]

Answer:

4, 7 ,2

Step-by-step explanation:

5 0

3 years ago