thetmg1
thetmg1 thetmg1
  • 03-04-2017
  • Mathematics
contestada

how do you factor tan^2x-3tanx-2

Respuesta :

TheHero
TheHero TheHero
  • 07-04-2017
let tanx = y or just use it as a variable

tan^2x -3tanx - 2

a = 1 , b = -3 , c = -3

quadratic formula

tanx = [-b  + sqrt(b^2 - 4 ac) ]/ 2 a
       =  [ 3 + sqrt( 9 +12)] / 2 = 3.56

tanx = [-b  - sqrt(b^2 - 4 ac) ]/ 2 a
       =  [ 3 - sqrt( 9 +12)] / 2 = -0.56

x = 1st or 3rd quadrant 
x = tan^-1(3.56) = 74.3 (1st)
x = 180 + 74.3 (3rd)

x = tan^-1(-0.56) two options either 2nd quarter or 4th quadrant

x = 180 - 29.2 ( 2nd)
x = 360 - 29.2 ( 4th)

Answer Link

Otras preguntas

Find x and y. Please help!!
How to find n in 38n4​
Special breathing to avoid test anvey should include
Why is the C-O bond considered to be polar? The molecule is symmetrical. The electronegativity difference of the atoms in the bond.
The cars in a soapbox derby have no engines; they simply coast downhill. Which of the following design criteria is best from a competitive point of view? a. The
Salma's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Salma $5.15 per pound, and type B coffee costs $4.10 per pound.
Name three or four characteristics of a secularized society.
Please solve! It's really easy (I think).
what is a volt as applied in physics ​
4) 300cm of Hydrogen chloride gas were passed over 7.0g of heated iron fillings until there was no furtherchange. The reaction vessel was then allowed to cool t