lilotheg lilotheg

14-12-2021
Mathematics

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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

Respuesta :

Аноним Аноним

14-12-2021

Answer:

7√3/12.

Step-by-step 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

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