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}
8. Not a function because there are multiple x values for a single y value therefore it will not pass the vertical line test making it not a function
9. same as 8
10. Is a function because each y value only has one x value so it would pass the vertical line test that determines it is a function.
Answer:
Option D. minor arc
Step-by-step explanation:
we know that
In a circle the measure of minor arc plus the measure of major arc is equal to 360 degrees
The measure of minor arc is less than 180 degrees
The measure of major arc is greater than 180 degrees
In this problem
Arc BDC is a major arc
Arc BC is a minor arc
I’m like 100 percent sure it goes upwards
You can add as many zeros to the right most side of a decimal without changing its value. But you can't add as mant zeros on the left side after the decimal. So, 0.9 can also be written as 0.90000000000000 or even 0.90. BUT, it canmot be written as 0.0009 or 0.09.