SOLUTION: I have to verify each trig identity. Will you show the steps to please. 1) ((tan(A+B)-tanB)/(1+tan(A+B)tanB))= tanA 2) sin^3ø+cos^3ø+sinøcos^2ø+sin2øcosø=sinøcosø 3) Also,

Algebra ->  Trigonometry-basics -> SOLUTION: I have to verify each trig identity. Will you show the steps to please. 1) ((tan(A+B)-tanB)/(1+tan(A+B)tanB))= tanA 2) sin^3ø+cos^3ø+sinøcos^2ø+sin2øcosø=sinøcosø 3) Also,      Log On


   

Question 963951: I have to verify each trig identity. Will you show the steps to please.
1) ((tan(A+B)-tanB)/(1+tan(A+B)tanB))= tanA
2) sin^3ø+cos^3ø+sinøcos^2ø+sin2øcosø=sinøcosø
3) Also, express tan^2x-sec^2x in terms of sinx and cosx, and simplify.
Answer by Murthy(22) About Me  (Show Source):
You can put this solution on YOUR website!

1.
((((tanA+tanB)/(1-tanAtanB))-tanB)/(1+((tanA+tanB)/(1-tanAtanB)).tanB))

= ((((tanA+tanB-tanB+tanA〖tan〗^2 B)/(1-tanAtanB)))/(((1-tanAtanB+tanAtanB+ 〖tan〗^2 B )/(1-tanAtanB)) ))
= ((((tanA+tanB-tanB+tanA〖tan〗^2 B)/(1-tanAtanB)))/(((1-tanAtanB+tanAtanB+ 〖tan〗^2 B )/(1-tanAtanB)) ))
((tanA+tanA〖tan〗^2 B)/(1+ 〖tan〗^2 B))
((tanA(1+〖tan〗^2 B))/(1+ 〖tan〗^2 B))
= tanA