SOLUTION: How to solve this equation? A. Solve the equation in the interval (-pi/2 , pi/2) expressing the solution for x in terms of inverse trigonometric functions. (tan x)^2 - tan x

Algebra ->  Trigonometry-basics -> SOLUTION: How to solve this equation? A. Solve the equation in the interval (-pi/2 , pi/2) expressing the solution for x in terms of inverse trigonometric functions. (tan x)^2 - tan x       Log On


   

Question 810803: How to solve this equation?
A. Solve the equation in the interval (-pi/2 , pi/2) expressing the solution for x in terms of inverse trigonometric functions.
(tan x)^2 - tan x - 56 = 0
B. Use a calculator to approximate the solution in part (a) to three decimal places.
There will be 2 answers for each, and I am having issues with my calculator on how to get the decimal answers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How to solve this equation?
A. Solve the equation in the interval (-pi/2 , pi/2) expressing the solution for x in terms of inverse trigonometric functions.
(tan x)^2 - tan x - 56 = 0
Factor::
(tan(x)-8)(tan(x)+7) = 0
x = arctan(8) which is defined to be 1.4464 radians
OR
x = arctan(-7) which isdefined to be -1.4289 radians
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B. Use a calculator to approximate the solution in part (a) to three decimal places.
Did that.
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Cheers,
Stan H.
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