Question

Given that tangent squared theta = three-eighths, what is the value of secant theta?

A) Plus-or-minus StartRoot eight-thirds EndFraction
B) Plus-or-minus StartRoot eleven-eighths EndFraction
C) Eleven-eighths
D) Eight-thirds

Answer 1

B) Plus-or-minus StartRoot eleven-eighths EndFraction

Explanation:

Answer 2

B) Plus-or-minus StartRoot eleven-eighths EndFraction

`{ \tan }^(2) \theta = (3)/(8) \\ but : { \tan }^(2) \theta = { \sec }^(2) \theta - 1 \\ \therefore { \sec}^(2) \theta - 1 = (3)/(8) \\ { \sec }^(2) \theta = (11)/(8) \\ \sec( \theta) = \sqrt{ (11)/(8) }`