Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
Answer:
Step-by-step explanation:
I believe that “b” would equal 6
Answer:
please what shape is this
5:3
5units:3units
5+3=8
8 units
4qt=8units
divide by 8 both sides
1/2qt=1unit
red=5unit
red=5*1/2
red=5/2qt
d
lime green=3unit
lime green=3*1/2
lime green=3/2qt
not sure what the ratio of the blue paint to the yellow paint is
I do know that
when b=amount of blue paint in quarts
yo need 5/2qt red, b qt blue, and y qt yellow, where b+y=3/2qt
and the ratio is
5:b:y, where b+y=3
can't solve fully without ration of the the blue to yellow
