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Archy [21]
3 years ago
6

Prove the following identity. [sin(x+y)+sin(x-y)]/[cos(x+y)+cos(x-y)] = tan(x)

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
\frac{sin(x + y) + sin(x - y)}{cos(x + y) + cos(x - y)} = tan(x)
\frac{(sin(x)cos(y) + cos(x)sin(y)) + (sin(x)cos(y) - cos(x)sin(y))}{(cos(x)cos(y) - sin(x)sin(y)) + (cos(x)cos(y) + sin(x)sin(y))} = tan(x)
\frac{(sin(x)cos(y) + sin(x)cos(y)) + (cos(x)sin(y) - cos(x)sin(y))}{(cos(x)cos(y) + cos(x)cos(y)) + (-sin(x)sin(y) + (sin(x)sin(y))} = tan(x)
\frac{2sin(x)cos(y)}{2cos(x)cos(y)} = tan(x)
\frac{sin(x)}{cos(x)} = tan(x)
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pshichka [43]
Hello!

The sum of all angle measures in a heptagon in 900°. We will subtract all of these angles from 900 to find our answer.

900-146-122-142-140-110-142=98

x=98°

I hope this helps!
4 0
3 years ago
Read 2 more answers
In converting 30 pounds to ounces, what unit (omit the number) would you
gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

you're doing this because if one pound equals 16 ounces, if you have 30 pounds then you must've had more ounces. therefore you'd multiply.

which is 480 pounds

Enjoy!

6 0
3 years ago
An aircraft has a maximum of 30 first class seats and 220 economy seats.
guajiro [1.7K]

Answer:

x<y first inequality

x>y second inequality

x=y third inequality

5 0
4 years ago
Which point is 10 units from (2,5)
zalisa [80]

Answer:

All the points on (x - 2)² + (y - 5)² = 100

Step-by-step explanation:

It should be the circle with its center on point (2,5) and radius is 10.

(h , k) : center of circle (2,5)    h = 2     k = 5

r: radius     r = 10

Circle: (x - h)² + (y - k)² = r²

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5 0
3 years ago
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What is the inverse of the function f(x) = 2x - 10?
ollegr [7]

Answer:

h(x) = x/2 + 5

Step-by-step explanation:

f(x) = 2x - 10

Step 1. Replace f(x) with y.

y = 2x - 10

Step 2. Switch variables x and y.

x = 2y - 10

Step 3. Solve for y.

2y - 10 = x

2y = x + 10

y = x/2 + 5

Step 4. Replace y with h(x)

h(x) = x/2 + 5

4 0
3 years ago
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