Question

if sin B =24/25 then sec B=​

Answer 1

$\underline{\underline{\blue{\textbf{Step - By - Step - Explanation : -}}}}$

Sin B = 24/25

Sin B = perpendicular/hypotenuse

Perpendicular = 24

Hypotenuse = 25

By using Pythagoras theorem

Hypotenuse² = base² + perpendicular²

25² = b² + 24²

625 = b² + 576

625 - 576 = b²

49 = b²

b = √49

b = 7

• Base = 49

Sec B = Hypotenuse/base

Sec B = 25/7

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