Formulae of tan(A±B)

Half Angle Formula of (tan A)/(2)(tan B)/(2)(tan C)/(2)

Formula for tan^(-1)(x)+-tan^(-1)(y)

Formula for 2tan^(-1)x and 3tan^(-1)x

By using above basic addition/ subtraction formulae, prove that (i) tan (A+B)=(tan A+tan B)/(1-tan A tan B) , (ii) tan (A-B)=(tan A-tanB)/(1+tan A tan B) (iii) sin2theta=2sintheta costheta , (iv) cos2theta=cos^(2)theta=1-2sin^(2)theta=2cos^(2)theta-1 (v) tan 2theta=(2 tan theta)/(1-tan^(2) theta)

For all values of A and Btan(A+B)=(tan A+tan B)/(1-tan A tan B) and tan(A-B)=(tan A-tan B)/(1+tan A tan B)

Prove that tan(A+B+C)=(tan A+tan B+tan C-tan A tan B tan C)/(1-tan A tan B-tan B tan C-tan C tan A)

Prove that: tan(A+B)tan(A-B)=(tan^(2)A-tan^(2)B)/(1-tan^(2)A tan^(2)B)

Prove that tan(A-B)=(tan A-tan B)/(1+tan A*tan B) , if A=60° & B=45°.

Prove that: (tan(A+B))/(cot(A-B))=(tan^(2)A-tan^(2)B)/(1-tan^(2)A tan^(2)B)

If A+B+ C=(pi)/(2) then what is the value of tan A tan B +tan B. tan C + tan C tan A?