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.
Answer:
x = 3
Step-by-step explanation:
2x+6=x+9 subtract x in both sides
x +6 =9 subtract 6 in both sides
x = 3
B OR D IT WAS confusing.
Step-by-step explanation:
I tried different equations multiple ways I'm pretty sure I did it wrong
Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is
We know that one of the angles (say x) is 98. So, the equation updates to
If we want to solve for the other angle, we can simply subtract 98 from both sides to get
