How do i solve: Tan[(theta/2)+(pi/3)]=1 and 2cos^2(theta) + cos(theta) - 1 = 0
Y youknowjojo New member Joined Feb 26, 2007 Messages 2 Feb 26, 2007 #1 How do i solve: Tan[(theta/2)+(pi/3)]=1 and 2cos^2(theta) + cos(theta) - 1 = 0
tkhunny Moderator Staff member Joined Apr 12, 2005 Messages 11,339 Feb 26, 2007 #2 Re: Solving Equations Within Intervals youknowjojo said: Tan[(theta/2)+(pi/3)]=1 Click to expand... You just look at this one. Where is the tangent +1??? pi/4 + k*pi for k an integer. So,... (theta/2)+(pi/3) = pi/4 + k*pi Solve for theta. 2cos^2(theta) + cos(theta) - 1 = 0 Click to expand... You recognize the Quadratic Structure and just write down the first part. cos(theta) = (-1 + sqrt(1+4*2))/4 cos(theta) = (-1 - sqrt(1+4*2))/4
Re: Solving Equations Within Intervals youknowjojo said: Tan[(theta/2)+(pi/3)]=1 Click to expand... You just look at this one. Where is the tangent +1??? pi/4 + k*pi for k an integer. So,... (theta/2)+(pi/3) = pi/4 + k*pi Solve for theta. 2cos^2(theta) + cos(theta) - 1 = 0 Click to expand... You recognize the Quadratic Structure and just write down the first part. cos(theta) = (-1 + sqrt(1+4*2))/4 cos(theta) = (-1 - sqrt(1+4*2))/4