Is my information correct

It'll give an impression that you have cancelled the sin "WORD" on both sides as if a algebraic factor.

Use these steps,

sinA = sinP

sin²A = sin²P

1 - cos²A = 1 - cos²P

cosA = cosP

Hence the corresponding measures of sides to these triangles are in a the same ratio.

The two triangles are similar, and then we can say that the angles are equal.

Regards,

Team,

TopperLearning.