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Rzqust [24]
2 years ago
13

Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A

Mathematics
1 answer:
FrozenT [24]2 years ago
4 0

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

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Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each mi
Sedbober [7]

Answer:

The slope of the equation is -3.          

Step-by-step explanation:

Given : Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.

To find : What is the slope ?

Solution :

Let x be the number of minutes taken to dig the ground.

He started digging his way deeper into the ground, descending 3 meters each minute i.e. '-3x'

Let y is the total distance travel to dig the ground.

Mr. Mole's burrow lies 5 meters below the ground.

The equation form is y=-3x-5

Comparing with general slope form i.e. y=mx+c where m is the slope.

The slope of the equation is -3.

5 0
3 years ago
Read 2 more answers
What is the measure of angle A in the triangle?<br> Enter your answer in the box.<br> mZA=
stepladder [879]

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

A + B + C = 180

2x-10 + 70+ x+30 = 180

Combine like terms

3x +90 = 180

Subtract 90 from each side

3x+90-90=180-90

3x= 90

Divide by 3

3x/3= 90/3

x=30

We want to find angle A

A = 2x-10

   =2*30 -10

  =60-10

  50

6 0
3 years ago
Read 2 more answers
Solve<br> 2x = -16<br><br> a.-8<br> b.8<br> c.1/8<br> d.-1/8
harina [27]

Answer:

A

Step-by-step explanation:

The correct answer will be A

Have a great day

4 0
2 years ago
Jon: 4b-1= -4+ 4b +3<br> is this no solution
anygoal [31]

Answer:

b=0

Step-by-step explanation:

4b-1=-4+4b+3

4b-4b=-4+3+1

b=0

5 0
2 years ago
- 5 .5 ( d - 2 ) = - 12. 1
OverLord2011 [107]

Answer:

D = 4.2

Step-by-step explanation:

-5.5 ( d - 2 ) = - 12.1

-5.5d + 11 = - 12.1

11 + 12.1 = 5.5d

23.1 = 5.5d

d = 23.1 ÷ 5.5

d = 4.2

5 0
3 years ago
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