How do I solve for "x" in 3sec^2(x)+2+sin^2(x)-tan^2(x)+cos^2(x)=0?
3sec^2(x)+2+sin^2(x)-tan^2(x)+cos^2(x)=0
3sec^2(x)+2+sin^2(x)-tan^2(x)+cos^2(x)=0
1 Answer
Feb 8, 2018
There is no solution
Explanation:
If we group terms and recall our pythagorean identities, namely
#3sec^2x + 2 + 1 - tan^2x = 0#
If we solve for tangent in
#3sec^2x + 3 - (sec^2x - 1) = 0#
#3sec^2x + 3 - sec^2x + 1 = 0#
#2sec^2x + 4 = 0#
#sec^2x + 2 = 0#
#sec^2x = -2#
#x = O/#
Since the square root of a negative number is undefined there is no solution to the given equation.
As you can see in the following graph, there is no intersection between
Hopefully this helps!