if cos theta = sqrt2/7 and 3pi/2

Question

if cos theta  = sqrt2/7 and 3pi/2 < theta < 2pi. what are the values of sin theta and tan theta

anonymous · Answer

$$if \cos \Theta = \sqrt{2}/2  and  3\pi /2 < \Theta < 2\pi$$

anonymous · Answer

well they give u cos right? cos is adjacent/hypotenuse so the adjacent side is 2 and the hypotenuse is 7. use the pythagorean theorm to get the sine and then use the sin/cos to get tan. the 3pi/2 thing is the boundaries where the answers can be

anonymous · Answer

i never did a problem like this so im lost

zepdrix · Answer

$$\Large\rm \color{orangered}{\frac{3\pi}{2}\lt \theta\lt 2\pi}$$What quadrant does this put our angle $\Large\rm \theta$ in crystelle? :)

anonymous · Answer

theta is just a angle where if u take the cos of that angle will give u sqrt 2/7

anonymous · Answer

u kinda need to know ur circle of radians to answer this question

anonymous · Answer

hm  i think quad 1 since its all positive? i just learned this today so lol

anonymous · Answer

I think it is 4 quadrent

anonymous · Answer

google circle of quadrants and look for the 3pie/2 and 2pie

anonymous · Answer

ok !

anonymous · Answer

270 degrees

zepdrix · Answer

|dw:1402612160309:dw|4th quadrant? :)
Ok great. So draw a triangle in the 4th quadrant.
Use the information they gave you to label the sides.