Question

If tan a = 3/4 . what is the value of sec a ?
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Answer 1

Answer:

TanA=3/4

secA=?

TanA=opposite/adjacent

opp=3

adj=4

hyp=5

secA=hypotenuse/adjacent

so,

5/4

how hypotenuse we got 5 is

hyp square =opp square +adi square

H square=9+16

=25

=$\sqrt{25}$

=5

Answer 2

Answer:

tan a = perpendicular / base

tan a = 3/4

means here perpendicular is 3k

and the base is 4k

hypotenuse² = perpendicular² + base²

hypo² = (3k)² + (4k)²

hypo² = 9k² + 16k²

hypo² = (9+16)k²

hypo² = 25k²

hypo = √25k²

hypo = 5k

sec a = hypotenuse / base

= 5k / 4k

= 5/4