Question

Can someone help me with this?! ://
Sum of the equation(tan(2x+pi/4)=sqrt3 ) solutions for interval x€[0,pi) is?

Answer 1

Where is the tangent equal to sqrt(3)?

Answer 2

i know that the arctan of sqrt is pi/3

Answer 3

and that tan of pi/4 is 1
but idk what to do with it..

Answer 4

I think 2x + pi/4 = 60

Answer 5

how?

Answer 6

(tan(2x+pi/4)=sqrt3 )

arctan of sqrt 3

Answer 7

No, 2x + pi/4 = pi/3 + kpi where k is any integer. There are LOTS of solutions.

Answer 8

but i need to write the sum of the solutions in the interval above..

Answer 9

You must first find them all.

2x = pi/12 + kpi

x = pi/24 + kpi/2

How many values of k put the corresponding value of x in the desired interval?

Answer 10

0,pi/2,pi/3,pi/4? °_°

Answer 11

also i never understood these : 2x = pi/12 + kpi

x = pi/24 + kpi/2
are those always the same and how do i know which ones to use and when?

Answer 12

@tkhunny is this corrrect