Question

Find two values of (theta), 0<(or equal to) theta<2pi, that satisfy the equation

a) sintheta=sqrt2/2
b) sintheta=-sqrt2/2
c)tantheta=-sqrt3

I am SO lost right here. :'(

Answer 1

Use the unit circle for better.

Answer 2

How? Would i draw out a 45 deg angle?

Answer 3

No, just search for unit circle.

Answer 4

I know what it is, I just need to know how to do this.

Answer 5

...

Answer 6

first, you need to recognize that coordinates of the unit circle are of the form (cos(theta), sin(theta)). find values of pi (angles) where sin (theta) (which is the y coordinate ) are equal to sqrt(2)/2. theres 2 places where this is true, and those are your answers for a. repeat for b, but use -sqrt(2)/2 instead. for tangent, tan is defined as sin/cos, so find places where y/x = -sqrt(3)
heres a unit circle (near the bottom of the page, with all the values on it)
http://www.regentsprep.org/Regents/math/algtrig/ATT5/unitcircle.htm
see if you can do this now

Answer 7

I'll try. thanks

Answer 8

if you still dont get it, just ask

Answer 9

Ok