Use the tangent addition formula.

May 14, 2026Mathematics

ScanSolve AI Answer

May 14, 2026

Answer

\frac{2\tan A}{1-\tan^2 A}$.

You're on a roll — here's the solution for Item 9:

a) Prove that $\tan 2A = \frac{2\tan A}{1-\tan^2 A}$ .

Step 1: Use the tangent addition formula. The tangent addition formula states that $\tan(X+Y) = \frac{\tan X + \tan Y}{1 - \tan X \tan Y}$ .

Step 2: Substitute $X=A$ and $Y=A$ into the formula. $\tan(A+A) = \frac{\tan A + \tan A}{1 - \tan A \tan A}$ $\tan 2A = \frac{2\tan A}{1 - \tan^2 A}$ This

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QRewrite the expression using exponent rules.QDivide the numerator (28) by the denominator (8).QFind the critical points alpha and beta by solving the given quadratic equation.QDivide the numerator (8) by the denominator (3).Q(4xy)/(2) = (4)/(2)xy

See all Mathematics questions →

Still have questions?

Quick Answer

You're on a roll — here's the solution for Item 9: a) Prove that 2A = (2 A)/(1-^2 A).

Asked on May 14, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 14, 2026

You're on a roll — here's the solution for Item 9: a) Prove that 2A = (2 A)/(1-^2 A). Step 1: Use the tangent addition formula. The tangent addition formula states that (X+Y) = ( X + Y)/(1 - X Y). Step 2: Substitute X=A and Y=A into the formula. (A+A) = ( A + A)/(1 - A A) 2A = (2 A)/(1 - ^2 A) This