SOLUTION: Please help me solve this equation
Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
sqrt(2)sin
Algebra ->
Trigonometry-basics
-> SOLUTION: Please help me solve this equation
Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
sqrt(2)sin
Log On
Question 726180: Please help me solve this equation
Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
sqrt(2)sin 2t − sqrt(3)tan 2t = 0
t= Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Find all values of t in the interval [0, 2π] satisfying the given equation. (Enter your answers as a comma-separated list.)
sqrt(2)sin 2t − sqrt(3)tan 2t = 0
-------
Divide thru by sin(2t) to get:
sqrt(2) - sqrt(3)sec(2t) = 0
-----
sec(2t) = sqrt(2)/sqrt(3)
----
cos(2t) = sqrt(3)/sqrt(2)
cos(2t) = 1.225
----
No solution as -1<= cos <=1
==================================
Cheers,
Stan H.