Question

Prove that (sin+cos)2 + (sin- cos)2 = 2​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

(sinx−cosx)2+(sinx+cosx)2=2

sin2x−2sinxcosx+cos2x+sin2x+2sinxcosx+cos2x=2

terms equal 1

from the Pythagorean theorem

also, blue terms equal 1

So

1−2sinxcosx+1+2sinxcosx=2

green terms together equal 0

So now you have

1+1=2

2=2

Answer 2

Answer:

Bhai dono ka hole square karo aur identies use karo ( sin square theta + cos square theta)