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

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

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

(cos 10^0+sin 10^0)/(cos 10^0-sin 10^0) is equal to a. tan55^0 b. cos 55^0 c. -tan35^0 d. -cot35^0

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

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

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

Prove that = (sin 5x - 2 sin 3 x + sin x)/( cos 5x - cos x) = tan x

Find (i) sin C (ii) cos C and (iii) tan C in the adjacent triangle.

( 2tan 30 ^(@) )/( 1+tan ^(2) 45^(@) ) = (a) sin 60 (b) cos 60 (c) tan 30 (d) sin 30

In a right angle triangle ABC, right angle is at B ,If tan A=sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C