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!

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- Dec 3rd 2009, 12:40 AMOVechkin8[SOLVED] Trig Functions
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! - Dec 3rd 2009, 01:28 AMGrandad
- Dec 3rd 2009, 01:33 AMnikhilcheck this out
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 - Dec 3rd 2009, 05:10 PMOVechkin8
Thanks guys, for the last one it was, 0, pi, pi/4, and 7pi/4. SOLVED.