Posted by BreAnne on Friday, April 13, 2012 at 2:02am.
can I please have help with these 3 questions?
1. Solve this equation graphically on the interval [0, 2ð]. list the solutions.
2. solve sin x cos x= sqrt3/4
3. solve tan^2 x-3tan x+2=0
thank you! show step by step please.
- Trig - Reiny, Friday, April 13, 2012 at 7:47am
sinxcosx = √3/4
2sinxcosx = √3/2
sin(2x) = √3/2
2x = 60° or 2x = 120°
x = 30° or x = 60°
period of sin 2x is 180°
so other solutions
x = 30 + k(180) and x = 60 + k(180) degrees , where k is an inter
x = π/6 + kπ or x = π/3 + kπ
3. let tanx = t
you have t^2 - 3t + 2 = 0
(t-2)(t-1) = 0
t = 2 or t = -1
tanx = 2 -----> two answers in domain 0≤x≤2π
tanx = -1 ---> two answers in domain 0 ≤ x ≤ 2
give it a try
- Trig - BreAnne, Saturday, April 14, 2012 at 11:04pm
thank you so much!
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