2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
Answer:
D
Step-by-step explanation:
Answer:
C) 20x+78
Step-by-step explanation:
9(x-6)+11(x+12)
9x-54+11x+132
20x-54+132
20x+78
Answer:
well then you fail and thats that
Step-by-step explanation:
Answer:
If you put two things together it cannot be less than what was originally there.
Step-by-step explanation:
For example if you have two bowls of soup and you add them together you will have more soup.
