Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:
Then, if we insert the values for x and y, we get:
When we distribute and multiply:
And once we combine like terms:
104<em> is the answer</em>
A negative plus a positive equals a negative
The council tax bill before the increase is £1240
The equation that represents the percentage increase in council tax bill is :
percentage increase x t = £62
Where t represents the initial council tax bill - council tax bill before the 5% increase
5% x t = £62
0.05 x t = £62
Divide both sides of the equation by 0.05
t = £62 / 0.05 = £1240
To check if the answer derived is correct : 5% x 1240 = 62.
A similar question was answered here: brainly.com/question/12066598?referrer=searchResults
