if 6cos^2theta -2cos2theta -3=0, then tan^2theta is equal to
Hello!
The answer is One.
Reason/Explanation- here, expanding the given equation,
cos2x=2cos^2x-1
we get,
6cos^2x-4cos^2x+2-3=0
2cos^2x-1=0
cos^2x=1/2
cosx=1/(2)^(1/2)
x=45 degrees.
here,
tan^2x=(tan 45)^2=1
Therefore, Answer=1.
These kind of equations must be solved by simplifying it. Hope this helps!