Landon143 Landon143
  • 02-05-2014
  • Mathematics
contestada

Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx

Respuesta :

crisforp
crisforp crisforp
  • 02-05-2014
tan ( a + b ) = [ tan a + tan b ] / [ 1 - (tan a)*(tan b) ];

let be a = 2x and b = x;

=> tan 3x = [ tan 2x + tan x ] / [ 1 - (tan 2x)*(tan x) ] => (tan 3x)*[ 1 - (tan 2x)*(tan x) ] =
 
tan 2x + tan x => tan3x -  tan 3xtan 2xtanx = tan 2x + tan x =>  tan 3x−tan 2x−tanx = tan 3xtan 2xtanx.
Answer Link

Otras preguntas

My garden takes up 1/3 of my yard; I plant tomatoes in 1/2 of the garden. Write and solve the equation shown by the diagram to tell what fraction of my yard is
A girl can sweep the garage in 20 minutes, while her brother needs 30 minutes to do the same job. How many minutes will it take them to sweep the garage if they
Geometry math question no Guessing and Please show work thank you
Which phrases represent methods used by scientists
What wires allow electrons to flow the easiest?
1. What operations would you use in order to solve 3x – 4 = 26. Please write the operations in the order you would use them.
HELP PLEASE BRAINLISET AND POINTS Question 1 (Fill-In-The-Blank Worth 5 points) (07.01 LC) Which of the following values in the set below will make the equation
which function is the inverse of f(x)=x^2-25
HELP ME ASAP!!In ABC, what is the measure of angle B? a.46 b.48 c.70 d.92
Which statement is true? A. Inertia causes bodies to slow in their motion, unless they’re pushed by a force. B. Inertia resists changes to the state of motion