If sin A = tan A ....then
sin A = sin A / cos A multiply both sides by cos A
sin A cos A = sin A divide both sides by sin A
cos A = sin A / sin A
cos A = 1
And A = 0°
I just realized that I committed a cardinal sin on this one....I cannot divide by sin A....since A = 0°
Here's a correct approach :
sin A = tan A
sin A = sin A / cos A
sin A - sin A/ cos A = 0 factor out sin A
sin A [ 1 - 1/cos A] = 0
sin A [ 1 - sec A ] = 0
So either sin A = 0 in which case A = 0° or sec A = 1......which further confirms that A = 0° .....and cos A = cos 0° = 1