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Alex
3 years ago
8

Prove (sinxsiny-cosxcosy)(sinxsiny+cosxcosy) =sin^2x-cos^2y

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Step-by-step explanation:

Recall that \sin^2x + \cos^2x = 1

(\sin x \sin y - \cos x \cos y)(\sin x \sin y + \cos x \cos y)

= \sin^2 x \sin^2 y - \cos^2 x \cos^2 y

= \sin^2 x (1 - \cos^2 y) - \cos^2 x \cos^2 y

= \sin^2 x - \sin^2 x \cos^2y - \cos^2x \cos^2y

= \sin^2x - (\sin^2x + \cos^2x)\cos^2y

= \sin^2x - \cos^2y

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Can you please help me I’ll pay you £100
natima [27]

Answer:

The new points to the triangle will be:

A(-6, 6)\\B(-6, 3)\\C(-8, 3)

Step-by-step explanation:

Because the reflection point is at x = -1, all x values will subtract their distances from x = -1 to get their new values. The y values remain the same.

The starting values are:

A(4,6)\\B(4,3)\\C(6,3)

Point A is 5 units away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so A(-6, 6).

Point B is also 5 unit away from x = -1, so we'll subtract 5 from -1 to get the new x value: -1 - 5 = -6, so B(-6, 3).

Point C is 7 units away from x = -1, so we'll subtract 7 from -1 to get the new x value: -1 - 7 = -8, so C(-8, 3).

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2 years ago
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I really don’t get this math how am i supposed to figure out which side is which?
Arada [10]

Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

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The volume of this rectangular prism is 4x^3 (4x cubed). What does the coefficient 4 mean in terms of the problem?
yKpoI14uk [10]
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2 years ago
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14.3p – 32.24 = 127.92 14.3p – 32.24 + 32.24 = 127.92 + 32.24 14.3p = 160.16 StartFraction 14.3 p Over 14.3 EndFraction equals S
DiKsa [7]

Answer:

p = 11.2

Step-by-step explanation:

The computation is shown below:

Data provided in the question

2.6(5.5p – 12.4) = 127.92

Now

Distributive Propertyis

14.3p - 32.24 = 127.92

Addition Property is

14.3p = 127.92 + 32.24

Division Property is

14.3p ÷ 14.3 = 160.16 ÷ 14.3

p = 11.2

We simply find the value of p by applying the distributive property, addition property, and the division property and the same is to be considered

8 0
3 years ago
How would you calculate the area and perimeter of 3yd 6yd 5yd 10yds
spayn [35]
Okay, start with the smaller square, you know the side length is 3 and that the width is 5, multiply this together:
3 * 5 = 15

That's the smaller left side of this shape, now the bigger side, divide the 10 yards at the bottom by 2 to properly represent the other side then multiply this by the 6 over there.
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Conclusion for Area: After adding the results the answer should be 45.

The perimeter is solely adding all the sides together. You have a 10, two 5's, one 6, and two 3's. Add this together:

10 + 5 + 5 + 6 + 3 + 3 = 32

Conclusion for Perimeter: So the perimeter would be 32.

I hope this helps in someway, have a great rest of your day! ^ ^
| | Ghostgate | |
3 0
3 years ago
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