Step-by-step explanation:
sin ∅ = -(√3)/2
Note that
cos²∅ + sin²∅ = 1
cos²∅ = 1 - sin²∅
= 1 - (-√3 / 2)²
= 1 - (-√3)²/ 2²
= 1 - 3/4
= 1/4
cos²∅ = 1/4
Taking square root of both sides
cos∅ = 1/2
Note that tan∅ = sin∅/cos∅
therefore, tan∅ = -(√3)/2 ÷ 1/2
= -(√3)/2 × 2/1
= -√3
tan∅ = -√3
Since sin∅ = -√3 /2
Then ∅ = -60⁰
The value of ∅ for the given range (third quadrant) is 240⁰.
NB: sin∅ = sin(180-∅)
Also, since 180⁰ is π radians, then ∅ = 4π/3
Answer:
magic
Step-by-step explanation:
Make sure the bottom number are the same
Add the top numbers,put that answer over the denominator
Simplify the fractions if needed
Answer:
15x + 3y = 10.
Step-by-step explanation:
you have to solve for y.
isolate the variable.
15x + 3y = 10
start by subtracting 15x on both sides.
3y = -15x +10
then divide both sides by 3
y = -15/3x + 10/3
simplify.
y = -5x + 10/3
10/3 can be written as 3.33
or 3 and 1/3
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
