SOLUTION: Find all solutions in the interval [0,360]. sin(4t)= {{{sqrt (3) }}} /2

Algebra.Com
Question 925942: Find all solutions in the interval [0,360]. sin(4t)= /2
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
sin(x) = /2
interval [0,360].
x = π/3, 2π/3 0r x = 60° , 120° See Below.
...........
4t = x
t = (1/4)x
t = π/12, 2π/12 0r t = 15°, 30°
..........
(cosx, sinx) Summary Unit Circle
.

RELATED QUESTIONS

Use your graphing calculator to find all degree solutions in the interval 0° ≤ x <... (answered by Theo,ikleyn,greenestamps)
Find all solutions of the equation in the interval [0, 2pi).... (answered by Alan3354)
find all the solutions in the interval [0, 360 degrees) for... (answered by Fombitz)
find all solutions to the equation in the interval [0, 2pi) (2 sin theta - sqrt 3)... (answered by lwsshak3)
Find all solutions of the equation in the interval [0,2pi) sin (x+7pi) - sinx - sqrt.2 (answered by lwsshak3)
Find all solutions in the interval [0,360] {{{ sin(4t)=sqrt(3) /2 }}} a)0 degrees, 45 (answered by Alan3354)
2 sin 2x cos x + 3 sin x=0 Find all solutions in interval (0,2pi) (answered by lwsshak3)
Find all solutions of the equation in the interval [0, 2π) sin(x + π/4)... (answered by lwsshak3)
find all solutions in the following interval 0 degrees (less than or equal to) theta... (answered by Fombitz)