Solve for the equation

Question

I need help trying to sole tan(2x) =1- where x is more than or equal to 0 but x is less than or equal to pi

Answer 1

To solve this equation we need to obtain the angle which is Tan (2x)=1 ; ArcTan(2x) = 1

2x = 45 degrees = 45X0.01571 = 0.7069 radians. x then will be equal to 0.3535 radians which is greater than Zero and less than 3.141592 radians. 

CHECK!!!!!!!!!!!!!!!!!!!!

 

 

 

Answer 2

Joanna,

             The easy way to solve this is to recall that tangent of 45 deg or π/4 radians is 1.0. So we must have  2x=45 or π/4 so x=22.5 deg or π/8 radians.

 

Jim