Question

solve: 3sec^2(x)-4=0

Answer 1

sec^2(x)=4/3 or sec (x)=2/(3)^(1/2) or x= pi/6

Answer 2

isolate the sec^2

\[\sec^{2} x = \frac{4}{3}\]
take sqrt
\[\sec x = \frac{2}{\sqrt{3}}\]
remember that sec = 1/cos
so by flipping both sides
\[\cos x = \frac{\sqrt{3}}{2}\]
find angle using unit circle or calculator

Answer 3

ok. thanks @dumbcow ! :)

Answer 4

i should add there are 2 answers, i forgot the +-
also find
\[\cos x = -\frac{\sqrt{3}}{2}\]

Answer 5

ok