Question

Solve the equation: sqr3 sinx = 1/2 sec x

Answer 1

\[\sqrt{3} \sin x = \frac{ 1 }{ 2 } \sec x\]

Answer 2

@amistre64

Answer 3

2 sqr3 sinx = sec x

2 sqr3 sinx cosx = 1

2 sinx cosx = 1/sqrt3

sin(2x) = 1/sqrt3

Answer 4

2x = arcsin(1/sqrt3)

x = arcsin(1/sqrt3)/2 = .30773....

Answer 5

Thank you!

Answer 6

does that make sense? or did i just do your work?

Answer 7

No, not at all. :) That does make sense. I thought there were supposed to be 2 answers to the question, so I was getting confused, and I kept the 2 apart from the sinxcosx. Now I remember 2 sinxcosx does equal sin2x.