Hello mates, I would like some help with these problems,
1. Solve tan(θ) + 1 = 0, 0 ≤ θ < 2pi
2. Solve tan(θ) − 3cot(θ) = 0, 0 ≤ θ < 2pi
3. Solve 2sin(θ) − √2tan(θ) = 0, 0 ≤ θ < 2pi
Have a great holiday break!
1) tanx+1=0
tanx=-1
therfor
x=3pi/4 or 7pi/4
2)tanx-3cotx=0
tanx-3/tanx =0
(tanx)^2-3=0
tanx=+-(3)^(1/2)
therfor
x= pi/3 or 4pi/3 or 2pi/3 or 5pi/3
3) 2sinx-(sqrt2)tanx=0
2sinx=(sqrt2)tanx
2sinx=(sqrt2)sinx/cosx
cosx = 1/(sqrt2)
or sinx=0
therfor
either x=0 or
x=pi/4 or 7pi/4