Sin(2θ)+sin(θ)=0
use double angle formula: sin(2θ)=2sin(θ)cos(θ).
=>
2sin(θ)cos(θ)+sin(θ)=0
factor out sin(θ)
sin(θ)(2cos(θ)+1)=0
by the zero product property,
sin(θ)=0 ...........(a) or
(2cos(θ)+1)=0.....(b)
Solution to (a): θ=k(π)
solution to (b): θ=(2k+1)(π)+/-(π)/3
for k=integer

For [0,2π), this translates to:
{0, 2π/3,π,4π/3}

8 0

3 years ago

Normal probability Density Function Use a graphing utility to graph the model probability density function with µ = 0 and ð = 2,

Nuetrik [128]

Answer:

Step-by-step explanation:

Hello!

The standard deviation (δ) is a measure of variability, this means, it shows how dispersed the data set is with respect to the mean. The population mean (μ) is a measurement of position. The three graphics have the same position μ=0 but their standard deviations change, this means, the form of their bells is different. The greater the value of the standard deviation, the more dispersed the data is you can see this graphically because the width of the bell will be greater.

Graph attached.

I hope it helps!

5 0

4 years ago

find the slope and the y-intercept of the graph of the linear equation.y=−3−14xy=−3−14xthe slope isand the y-intercept is.

Vladimir79 [104]

Answer:

add the graph

Step-by-step explanation:

6 0

3 years ago

You want to organize a group of friends to go to a karaoke studio friday night. you must pay $30 to reserve a room plus $5 for e

Eduardwww [97]

Answer: 12 people or less

Step-by-step explanation:

114≥30+5x+2x

114-30≥5x+2x

84≥7x

84/7≥7x/7

12≥x

There can be at 12 people or less who can attend the Friday night

6 0

3 years ago