Question

if sin theta-cos theta=1, find the value of cos theta + sin theta

Answer 1

Step-by-step explanation:

Sin A - cos A = 1

squaring

Sin²A + Cos²A - 2sinAcosA = 1²

1 - 2sinAcosA = 1

-2sinAcosA =1 - 1

cosAsinA = 0

sin A + cosA

sq.uaring

Sin²A + Cos²A + 2sinAcosA

1 + 2(0)

1

(sin A + cosA )² = 1

sin A + cosA = √1 = +1,-1

{[( Sin²A + Cos²A = 1 )]}