Is `(sin A )/( cos A) `equal to tan A ?

IS (cos A)/( sin A) equal to cot A ?

If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then (sin A )/(sin B)=

If sin A cos B = (1)/(4) and 3 tan A = tan B then triangle is

Prove that cos A/(1 - tan A) + sin A /(1 - cot A) = sin A + cos A

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

x= tan 27 theta - tan theta , y=(sin theta )/( cos 3 theta )+(sin 3 theta )/(cos 9theta)+(sin9 theta )/(cos 27 theta ) , if