

sin (90+A) = cos A,
The reason for getting positive result is, that we are finding value of sin (90+A) i.e., sin.. and sin is positive in the 2nd quadrant.
We will check sign of the given trigonometric functions, not for the resulting trigonometric function.
For proper understanding, please click on the link: timestamp: 58:55
https://www.youtube.com/watch?v=HdB63fiud6I&list=PLCzaIJYXP5YdD-nMkUNAKq3PAeBDVV23S&index=17
