Question

A+B=90,sinA=a,sinB=b prove that tanA=a/b

Answer 1

Hi Mate!!

Sin(A)= a ..... equation 1

Sin(B)= b........ equation 2

A + B = 90

B = 90 - A


Now put value of B in equation 2


Sin ( 90 - A )= b

Cos ( A ) = b ...... equation 3



Now divided equation 1 and 3


Tan ( A ) = a / b




Formulla used

Sin ( 90 - A ) = Cos ( A )


Sin ( A ) / Cos ( A ) = Tan ( A ).