SOLUTION: Please help me solve this equation for an exact value: This is where I am so far, but I am stuck on where to go next and am not sure if I have done it properly to this point.

Question 424118: Please help me solve this equation for an exact value:
This is where I am so far, but I am stuck on where to go next and am not sure if I have done it properly to this point.

tan(cos-1(1/2)-sin-1(3/4))

tan(α-β)=(tan α - tan β) / (1 + tan α * tan β)

tan (√3-(3/√7)) = (√3-(3/√7))/(1+(√3*(3/√7)))

Answer by Edwin McCravy(20062) (Show Source): You can put this solution on YOUR website!




Write that as



Multiply that by  written as






Distribute and get:



Rationalize the denominator by multiplying by


















Reverse the terms on the top



Factor -4 out of the top:



The -4 cancels into the -20 giving 5 on the bottom:



Edwin

RELATED QUESTIONS
Hi I am stuck on this one which has me completely bamboozled. Your assistance would be... (answered by solver91311,stanbon)
Please help. I put on problem on a few moments ago but here is my last one and I can show (answered by Earlsdon)
Hello I'm really stuck on this question and would be very grateful if you could help... (answered by jim_thompson5910)
If 1/8 + 1/3 = 1/N, what is the value of N? I have worked on this problem and so far I (answered by ikleyn,math_tutor2020,timofer)
Once again, I am in need of your help. I am stuck on a quadratic equation that I have to... (answered by vleith)
Once again, I am in need of your help. I am stuck on a quadratic equation that I have to... (answered by Earlsdon)
I am trying to solve this problem but I have go stuck adult tickets for a play cost... (answered by checkley71)
on page 58 of the textbook. the problem is a=180-(a-2/n) solve for n. this is what i got (answered by jim_thompson5910)
I am working on a problem that I am having difficulty answering. There is not an answer... (answered by psbhowmick,richwmiller)