Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Answer:
y = -1/2x - 4
Step-by-step explanation:
She has 3 tops and 3 bottoms if you multiply them you'll get 9. if you do 1,2, & 3 for tops and a, b, & c for bottoms to find the different ways on how she can wear it it'll still be 9.
1 2 3
a b c
1a 2a 3a
1b 2b 3b
1c 2c 3c
Answer:
Step-by-step explanation:
y = 2x - 8. slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign.
slope 2 or 2/1.....flip it....1/2....change the sign...-1/2. so our perpendicular line will have a slope of -1/2.
y - y1 = m(x - x1)
slope(m) = -1/2
(6,3)...x1 = 6 and y1 = 3
now we sub
y - 3 = -1/2(x - 6) <==== ur equation
The answer is 2 I think.......
