SOLUTION: Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)
(tan x)2 
Algebra ->
Trigonometry-basics
-> SOLUTION: Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)
(tan x)2 
Log On
Question 810691: Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)
(tan x)2 − tan x − 56 = 0 on (−π/2, π/2)
How do I solve this? Thank you!
You can put this solution on YOUR website! Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)(tan x)2 − tan x − 56 = 0 on (−π/2, π/2)
***
tan^2x-tanx-56=0
(tanx+7)(tanx-8)=0
tanx=-7, 8
x=tan^-1(-7)
or
x=tan^-1(8)
Note: The inverse of a trig function is always an angle
(