Question

The value of (sin A-cosA)^(2)+ (sinA+cosA)^(2) is _________

Answer 1

Answer:

2

Step-by-step explanation:

(sinA−cosA)^2 + (sinA+cosA)^2

=sin^2A + cos^2A − 2sinAcosA + sin^2A + cos^2A + 2sinAcosA

=sin^2A + cos^2A + sin^2A + cos^2A

=1+1

=2

(since, sin^2A + cos^2A=1)

Answer 2

Step-by-step explanation:

(SinA-cosA)^2+(sinA+ cosA)^2

sin^2A+cos^2A-2(SinAcosA)+sin^2A+cos^2A+2(SinAcosA)

$(a - b) ^{2} = a ^{2} + b ^{2} - 2ab$

$(a + b)2=a2+b2 + 2ab$

2sin^2A+2cos^2A

$sin^{2} + \cos ^{2} = 1$

=2*1

=2