Question

solve the trig equation by factoring. the question is attached http://bamboodock.wacom.com/doodler/ad83693a-9fee-42be-b972-2961d78f39f9

Answer 1

take the square root

Answer 2

so you get 1/2^1/2

Answer 3

which is radical 2/2

Answer 4

equal sinx

Answer 5

sinx = √2/2 ?

Answer 6

ya

Answer 7

you just have to find angle that gives you that and add 2kpi

Answer 8

btw \[\cos x = 0\]
that should be \[x = \frac{\pi}{2}; \; x = \frac{3\pi}{2}\]
no just 1/2

Answer 9

unit circle notice how the coordinates count down are squared at the top and always divided by 2

Answer 10

also note

sin = y
and
cos = x

Answer 11

so does it look right?

Answer 12

you need to express the answer in terms like this as it goes on for infinity because no interval was placed to limit your answers


\[\frac{\pi}{4} + 2n \pi, n =\mathbb{Z}\]

Answer 13

recall that sin is an oscillating function thus the number of values you can plug into it to get an output of 1/2 is infinite thus you have to express this in your answer

Answer 14

oka... thankyou!

Answer 15

so oone of your solutons would be
\[\frac{\pi}{4} + 2\pi n, n=\mathbb{Z}\]
and
\[\frac{\pi}{4} - 2\pi n, n=\mathbb{Z}\]