Question

If sin a +cos a= root 2then sin a. cos a=

Answer 1

Answer:

sin a + cos a = √2

squaring both sides

( sin a + cos a ) ² = √2²

sin ²a + cos²a + 2sina .COS a = 2

1 + 2sina .cosa = 2

2sina. cos a = 2 - 1 = 1

sina. cos a = ½