Question

3sec^(2)(θ)=4

Answer 1

tan^(2)(θ)=1/3

Answer 2

\[\sec ^{2}(\theta) = 4/3\]
\[1+\tan ^{2}(\theta) = 4/3\]
\[\tan ^{2}(\theta) = 1/3\]
\[\tan(\theta) = \sqrt{ \frac{1}{3}}\]
\[\tan(\theta)=\frac{\sqrt{1}}{\sqrt{3}}\]
\[\tan(\theta) = \frac{1}{\sqrt{3}}\]
\[\tan(\theta)=\frac{\sqrt{3}}{3}\]
\[\theta = 30, 210\]

Answer 3

only thing is there is the positive and negative solutions

\[\tan(\theta) = \pm 1/\sqrt{3}\]

Answer 4

@campbell_st is right. Depending on your teacher's preference, they may want you to only provide solutions in the first rotation of the unit circle, or all. Mine always said first rotation. Sorry :)

Answer 5

thanks so much!

Answer 6

yw