Question

find cos theta if sin theta =4/25​

Answer 1

Answer:

sin theta = 4/25

sin theta = p/h

on comparing let perpendicular be 4k and hypotenuse be 25k

$hypotenuse^{2} = perpendicular^{2} + base^{2} \\base^{2} = hypotenuse^{2} - perpendicular^{2}\\base^{2} = (25k)^{2} -(5k)^{2} \\base = 10\sqrt{6}$

$cos theta = b/h\\cos theta = 10\sqrt{6} /25$