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Ymorist [56]
3 years ago
8

Derive this identity from the sum and difference formulas for cosine:

Mathematics
1 answer:
DiKsa [7]3 years ago
4 0

Step-by-step explanation:

½ [cos(a − b) − cos(a + b)]

Using sum and difference formulas:

½ [cos a cos b + sin a sin b − (cos a cos b − sin a sin b)]

Distribute the negative:

½ (cos a cos b + sin a sin b − cos a cos b + sin a sin b)

Combine like terms:

½ (2 sin a sin b)

Simplify:

sin a sin b

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Consider the line which passes through the point P(3, 1, 5), and which is parallel to the line x=1+5t,y=2+5t,z=3+1t Find the poi
padilas [110]

Answer:

The point of intersection

(0,-14,22/5), (2,0,24/5), (-22,-24,0).

Step-by-step explanation:

Check attachment for solution

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3 years ago
Which is the correct formula to find the distance between two points (a, b) and (c, d)?
stepan [7]

Answer:

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation.

3 0
3 years ago
ok so i did learn this and was really good at it but now that I have to do it I cant.....how do i find the perimiter and area...
musickatia [10]

Hi!

So what you want to do is to find the perimeter add the sides up 4 times or mutiply 3.5 and 4. It's the same thing

Perimeter: 3.5*4= 14

For area multiply 2 sides and only 2 sides which are the length and width

Area: 3.5 * 3.5 = 12.25

Hope this helps!!

7 0
4 years ago
Read 2 more answers
If the ramp will be 3 feet above the ground and have a 4 foot Base , How long will the ramp be?
FinnZ [79.3K]

Answer:

5 feet long

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2  where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.

We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.

3^2 + 4^2 = c^2       plug in the values

9  +  16 = c^2           simply the two squared values

25 = c^2                   add the two values

5 = c                          take the square root of both sides

c = 5                          switch the values

6 0
3 years ago
Read 2 more answers
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