Question

Find sin a + Cos a if sin a minus Cos is equal to root 3 minus 1 by 2

Answer 1

Answer:

sinA +cos A = √{(2+√3)/2}

Step-by-step explanation:

sin A - cos A = √3-1/2

whole squaring both sides

1-2sinAcosA = 4-2√3/4

2sinAcosA = √3/2

sinAcosA = √3/4

(sin A +cos A)^2 = 1+2sinAcosA

(sinA +cosA)² = 2+√3/2

sinA +cos A = √{(2+√3)/2}