calculus

Now we prove Machin's formula using the tangent addition formula:
tan(A+B)= tanA+tanB/1-tanAtanB.

If A= arctan(120/119) and B= -arctan(1/239), how do you show that
arctan(120/119)-arctan(1/239)=arctan1?

  1. 👍
  2. 👎
  3. 👁
  1. get

    1. 👍
    2. 👎
  2. Mathematics

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry

    What is the molecular formula of a molecule that has an empirical formula of CH2O and a molar mass of 120.12g/mol?

  2. Pre-Calc

    I am really struggling with how to do these problems, I posted them a few minutes ago but the answers/work shown was incorrect. 1) a) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of

  3. Trigonometry

    How could you evaluate tan (13pi/12) if you did not know the sum and difference formula for tangent? Would you use the sin and cos sum and difference formulas, and if so, can someone walk me through it? Thank you!!!

  4. Pre-Cal

    Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. (tan(74°)-tan(14°))/(1+tan(74°)tan(14°)) =__________ Find it's exact value (not decimal form) =__________ Note: A

  1. Calculus

    The question is find the area of the reagion that is bounded by the curve y=arctan x, x=0, x=1, and the x-axis. So I've drawn the enclosed region. To find the area would I use the Disc/shell method? If so the formula that I came

  2. Amaths

    prove sin(A+B)/sin(A-B)=(tanA+tanB)/(tanA-tanB)

  3. math

    If TanA=k.TanB prove that (k+1)sin(A-B)=(k-1)sin(A+B).

  4. trigonometry

    tanA - sin A /sin^2A= tan A / 1 + cosA Please prove this

  1. maths

    ifm sin B=nsin(2A+B) prove that(m+n)tanA=(m-n)tan(A+B)

  2. Chemistry

    the formula H2O2 is an example of 1.molecular formula 2. an empirical formula 3.an ionic formula 4.an organic formula

  3. geometry

    Lesson 11: Polygons and Quadrilaterals Unit Review Sample Work Step 2 - Identify which formula we use to prove certain properties of polygons. Below are properties of triangles/quadrilaterals you’ve been working with closely.

  4. trig

    If it is given that tan(A-B)=tanA-tanB/1+tanAtanB and tanP-1/1+tanP=tan195 find p

You can view more similar questions or ask a new question.