Question

if A + B = 90 then prove that (sinA+sinB)/sinA=tanA+2tanB

Answer 1

Hiii......

Here is the aansweer......

Left hand side ...Put B= 90 - A .....

(SinA + sin (90 - A ) ) / sinA =( sinA + cos A )/sinA ....
= 1 + cotA .....

Right hand side ....similarliy .....

tanA + 2tan( 90 - A ) = tanA + 2 cot A .
........
= 1 + cot A .....
Hence both side are equal .....
Proved ......