Question

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

Answer 1

Answer:

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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}

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Answer 2

sina-cosa=√3-1[1/2]

(sina-cosa)(Sina+cosa)=sin²a-cos²a=1

√3-1(1/2)(Sina+cosa)=1

Sina+cosa=2(1/√3-1)

Answer=2(1/√3-1)