for the value tan x/2 =1
which value is a solution
pi/2
3pi/2
3pi/4
pi/4

Question

for the value tan x/2 =1 
which value is a solution 
pi/2
3pi/2
3pi/4
pi/4

jim_thompson5910 · Answer

how far did you get here?

cutiecomittee123 · Answer

Well I tried plugging in each of the values given into the x of the equation which failed miserably. I know that in terms of the unit circle we are looking for where tan is equal to one....so there are 4 points where that works but none of them are the values that are given.

jim_thompson5910 · Answer

did you make sure your calculator was in radian mode?

cutiecomittee123 · Answer

Well I used mathway, not my calculator. Which is actually a good idea let me try that.

cutiecomittee123 · Answer

omg the answer is a. obviousely because pi/2 divided by 2 is 1. Well thats what I get when I plug it into the calculator.

jim_thompson5910 · Answer

correct

cutiecomittee123 · Answer

okay can you help me with another?

jim_thompson5910 · Answer

go ahead

cutiecomittee123 · Answer

evaluate Cos^-1 1/2

jim_thompson5910 · Answer

ok use the unit circle and locate the angle that corresponds to the point with an x coordinate of x = 1/2

cutiecomittee123 · Answer

Oh yeah okay. So its not the angle that is x=1/2 but it is the one that cooresponds with it?

jim_thompson5910 · Answer

yeah you're basically asking yourself

"what is theta when cos(theta) = 1/2 ?"

cutiecomittee123 · Answer

Okay well let me take a look at the unit circle

cutiecomittee123 · Answer

wouldnt it be 7pi/6

jim_thompson5910 · Answer

look in Q1

cutiecomittee123 · Answer

so then just pi/3?

cutiecomittee123 · Answer

I was thinking it is the one opossite to that

jim_thompson5910 · Answer

yes correct

cutiecomittee123 · Answer

okay hold on so the answer has to be in radians

cutiecomittee123 · Answer

is pi/3 in radians??

jim_thompson5910 · Answer

yes