Friday

October 31, 2014

October 31, 2014

Posted by **Tracy** on Sunday, January 24, 2010 at 9:10pm.

3tan^2x = 3^1/2 tan x

I have no idea how to approach this problem.

- calculus -
**drwls**, Sunday, January 24, 2010 at 9:36pm3^1/2 tan x *(3^1/2*tanx - 1)= 0

tan x = 0 or 1/sqrt3

x = 0, pi, pi/6 and one other tan^-1(1/sqrt3)

- calculus -
**Reiny**, Sunday, January 24, 2010 at 9:40pm3tan^2x = 3^1/2 tan x

3tan^2x - √3tan x = 0

tanx(3tanx - √3) = 0

so tanx = 0 or tanx = √3/3

if tanx = 0, then x = 0º, 180º, 360º, ...

if tanx = √3/3 then x = 30º, 210º,390º, ...

The period of the tangent function is 180º, so adding 180 to any of our answers produces more answers

the angles in radians would be

0, pi, 2pi ...

pi/6, 7pi/6, 13pi/6, ..

(adding pi each time)

- calculus -
**Anonymous**, Monday, January 25, 2010 at 12:16amMuch appreciated guys.

**Answer this Question**

**Related Questions**

Tan^2 Integrals - I'm having a hard time understanding how to do Integrals ...

Calc - how do i solve ( 3tan²(x - 1) ) / ( tan³(x) - 3tan(x) )

Trig - Solve: 3tan^2x-1=0. I got +/- (the sq. root of 3)/3 which is correct ...

Trig - can I please have help with these 3 questions? 1. Solve this equation ...

Math - Solve each equation for all real values of x. 7.) 3 cos 2x - 5 cos x = 1 ...

Calculus - f(x) = [3/x^2] - [5/x^7], F(x) is the antiderivative of f(x) with F(1...

Calculus - limit of ((1/x) - (1/|x|) as x approaches x from the left side. i ...

Trigonometry - Hello, everyone: I am working on finding the exact values of ...

Pre Calculus - I keep trying to solve this by factring but I can't seem to get! ...

Trigonometry - I have some trigonometric equations to do, but I'm pretty lost, ...