trigonometry
posted by lindsay .
Find the general solution for f(x) = 27 tan^2 x9=0

27tan^2 x = 9
tan^2 x = 1/3
tanx = ± 1/√3
x = 30° , 150° , 210° or 330°
general
x = (30 + 180k)° , where k is an integer
x = (150+180k)° , where k is an integer
Respond to this Question
Similar Questions

Trigonometry
Find the exact value of tan(ab) sin a = 4/5, 3pi/2<a<pi; tan b = sqrt2, pi/2<b<pi identity used is: tan(ab)=(tan atan b)/1+tan a tan b simplify answer using radicals. (a is alpha, b is beta) 
trigonometry
5. Find the complete exact solution of sin x = √3/2. 9. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 21. Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. … 
trigonometry
5.Find the complete exact solution of sin x = √3/2. 10. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 12. Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. … 
Trigonometry
1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1tanθ = sec^2θ+2tanθ/1tan^2θ 17.Prove that … 
TRIGONOMETRY
Can someone please show me step by step solutions? 
MathTrigonometry
Show that if A, B, and C are the angles of an acute triangle, then tan A + tan B + tan C = tan A tan B tan C. I tried drawing perpendiculars and stuff but it doesn't seem to work? 
Math
Hi! Okay so I started to attempt this math problem; 3cot^2x1=0. However, I'm a little stuck. My teacher wants me to find the Location on The Unit Circle, Period, and General Solution. Can someone check what I have and help me with … 
trigonometry
1) Find the exact value of the expression: tan−1(tan(−120651/47π))... How do you find Tan(120651/47pi)? 
trigonometry
If cos x = 4/5, 0° x 90°, find the value of (1 + tan x)/(1  tan x) 
math (trigonometry)
A=170 degree then prove that Tan A/2=1rot(1+Tan^2 A)/Tan A