Question

Solve tan(x) (tan x + 1) = 0. O A. X = int.x = ** OB. B. x = 3 + 27T9,X = 37 + 277 4 O ETN C. X = }T, X = ? + T1 O EX= D. X = +17,X = +277 2

Answer 1

we have the equation

tan(x) (tan x + 1) = 0

this equation is satisfied when

tan(x)=0

and

(tanx+1)=0

Remember that

the tanx is zero when the sine is zero

so

x=0,pi, 2pi,3pi,...

x=(+/-)npi

and

(tanx+1)=0

when

the value of tanx=-1

so

x=-pi/4 --------> pi/4(+/-)npi

therefore

the answer is option A