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}
Answer:
range: {6, 1, -1}
Step-by-step explanation:
y = 4-x
when x = -2, y = 6
when x = 3, y = 1
when x = 5, y = -1
Answer:
congruent by sss
they have the same size and shape
Ummmm I don’t really know buttt you could get this app called calculated soup and it will help you
Answer:
$466
Step-by-step explanation:
Represent her salary by s. Then the amount spent on rent is s/2.
After spending 168 on her electric and water bills, she had s/2 - 168 dollars left. She spent half of this on her phone bill, leaving her with
s/2 - 168
-------------- dollars.
2
After buying $57 worth of gas, she had
s/2 - 168
-------------- - 57 dollars left, and this came to $92.
2
We must now solve for s.
First, multiply all three terms by 2. We get
s/2 - 168 - 2(57) = 2(92), or
s/2 - 168 - 114 = 184
Simplifying this, we get s/2 = 168 + 114 + 184, or s/2 = 466.
She spent half her salary (that is, half of s) on rent. As seen above, this is $466.
