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.
sin(2x)1=tan x
2. solve sin x cos x= sqrt3/4
3. solve tan^2 x3tan x+2=0
thank you! show step by step please.

Trig  Reiny, Friday, April 13, 2012 at 7:47am
1. try
http://www.wolframalpha.com/input/?i=sin%282x%291%3Dtan%28x%29+
2.
sinxcosx = √3/4
times 2
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
in radians:
x = π/6 + kπ or x = π/3 + kπ
3. let tanx = t
you have t^2  3t + 2 = 0
(t2)(t1) = 0
t = 2 or t = 1
so
tanx = 2 > two answers in domain 0≤x≤2π
or
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!
Answer This Question
Related Questions
 trig  please help me with some questions I skipped on a review for our test ...
 Trig  Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...
 Trigonometry desperate help, clueless girl here  2. solve cos 2x3sin x cos 2x=...
 MathsSs triG  Consider sin(x360)sin(90x)tan(x)/cos(90+x) 1.A.SIMPLIFY sin(x...
 Trigonometry  1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two ...
 Precalculus help  I have two problems I am stuck on, if you could show me how ...
 Trig/PreCalc  Teach me how to express 5sqrt3  5i in polar form please. I don't...
 MathTrig  1. Create an algebraic expression for sin(arccosxarcsin3x) 2. The ...
 Trigonometry  I have some trigonometric equations to do, but I'm pretty lost, ...
 TRIG  what is another form of: sin (A+B) sin (AB)/ cos^2 A cos^2 B a) cos^2 A...
More Related Questions