Question

Given sin⁡θ=1/7 determine the value of sec θ. 0°<θ<90°

Group of answer choices

√3/4

√3/12

√5/4

√3/2

Answer 1

7√3/12.

Explanation:

sin⁡θ=1/7

cosθ = √(1 - sin^2θ) = √ (1 - 1/49)

= √(48/49)

= 4√3/7

sec ⁡θ = 1/ cos⁡θ

= 1 / 4√3/7

= 7/4√3

= 7√3/12