Question

how to prove that sin / cos = tan

Answer 1

Let ABC be a triangle right angled at C .Measures of sides of AB ,BC ,CA are c ,a , b respectively. Let angle A = Ø .

Now , sinØ = opposite side to theta / hypotenuse = a / c .

Cosø = adjacent side to theta / hypotenuse = b/c .

Tanø = opposite side to theta / adjacent side to theta = a / b

Now taking

sinø / cosø

= ( a /c ) / ( b / c)

= a / b

= tanø.

hope helped! ^^