Question

solve question no. 4

Answer 1

Hope this answer will help u.

Answer 2

Heya !!



( CosX + SinX) = ✓2 Cos X ------(1)


=> ( CosX + SinX)² = 2Cos²X




=> Cos²X + Sin²X + 2SinX CosX = 2Cos²X



=> Cos²X - Sin²X = 2 SinX CosX




=> ( Cos X + SinX ) ( Cos X - SinX ) = 2SinXCosX.




=> ( ✓2 Cos X ) ( Cos X - SinX ) = 2SinX CosX [ Using (1) ]



=> ( Cos X - Sin X ) = 2SinX Cos X/ ✓2Cos X




=> ( Cos X - Sin X ) = ✓2 Sin X




Hence,



( Cos X - Sin X ) = ✓2 Sin X.