Answer:
θ = 5π/6 rad and 11π/6 rad
Step-by-step explanation:
Given the expression cotθ+√3=0
Subtract √3 from both sides
cotθ+√3-√3=0-√3
cotθ = -√3
Since cotθ = 1/tanθ
1/tanθ = -√3
Reciprocate both sides:
tanθ = -1/√3
θ = tan^-1(-1/√3)
θ = -30°
Since the angle is negative, and tanθ is negative in the second and fourth quadrant.
In the second quadrant;
θ = 180-30
θ = 150°
Since 180° = πrad
150° = 150π/180
150° = 5π/6 rad
In the fourth quadrant;
θ = 360-30
θ = 330°
Since 180° = πrad
330° = 330π/180
330° = 11π/6 rad
Hence the solutions are 5π/6 rad and 11π/6 rad.
#a
V={Vowels of English alphabets}
#b
C={cube numbers between 0 to 50}
#c
M={y:y is a multiple of 3 less than 20}
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept (0; b)
-y + 8x = 2x |subtract 8x from both sides
-y = -6x |change signs
y = 6x
Answer: The slope m = 6, y-intercept b = 0 -> (0; 0).
Answer:
Step-by-step explanation:
I used an online Fraction calculator to check my answer and I got 4/15 both times so you can trust this answer my friend.
Hope this helped you out.
