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ΔDEF is right-angled at E. If cosD = 8/17, then what is the value of sec F?

ΔDEF is right-angled at E. If cosD = 8/17, then what is the value of sec F? Correct Answer 17/15

Given:

cosD = 8/17

Formula used:

Cosθ = base/hypotaneous

cosθ = 1/secθ 

Calculation:

cosD = Base/Hypotenuse = 8/17

Let Base = 8k and Hypotenuse = 17k

Thus, Perpendicular = √ = √225k2 = 15k

For angle F base would be 15k

secF = Hypotenuse/Base = 17k/15k = 17/15

∴ The value of the secF is 17/15

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