Question

Find all values of x for which the following is true.

sin x = 1

a. π/3 + 3k π

b. -π/3 +2k π

c. -π/2 +2k π

d. π/2 + 2k π

e. π/4 + 2k π

How do i figure this out?

Answer 1

do you know how to find x here?

Answer 2

No. Im not sure.

Answer 3

what x value gives u 1 on the unit circle

Answer 4

Firstly, you need to have the unit circle memorized to do this problem

Answer 5

2π

Answer 6

nope thats cosine

Answer 7

π/4

Answer 8

Whats sin(pi/2)?

Answer 9

0.027

Answer 10

sin (90) = 1

Answer 11

That's in degrees, if you can use your calculator for this problem, make sure you have it set to radian mode by pressing [Mode] then setting it from degree to radians.

So the reason you cant do this problem is because you havent memorized the unit circle.
Memorize this and it will make your life 100x easier for the effort. You have to use it in every other math class you take from now on until forever so might as well get it over with.

http://www.shelovesmath.com/wp-content/uploads/2012/11/Unit-Circle.png?36349e

Sin of pi/2 = 1

Answer 12

So, which answer has pi/2 in it

Answer 13

D

Answer 14

ive been practicing memorizing th unit circle today, but was not sure how this problem related to it.

Answer 15

\[\sin x=1,\sin x=1=\sin \frac{ \pi }{ 2 }=\sin \left( 2 n \pi +\frac{ \pi }{ 2 } \right)\]
\[x= 2n \pi +\frac{ \pi }{ 2 },\]
where n is an integer.

Answer 16

the 2n*pi is just used to account for all coterminal angles. The pi/2 is the important bit