Math, asked by sahil123485, 9 months ago

(sin a+cos a)2+(sin a-cos a)2​

Answers

Answered by lucefar
1

Answer:

2

Step-by-step explanation:

Considering the 2 after the brackets is the square term.

1. Opening the first bracket gives us

= sin^2a+cos^2a+2*sina*cosa

2. Now opening the second bracket gives us

= sin^2a+cos^2a-2*sina*cosa

3. As we know that sin^2a+cos^2a = 1, we get

= 1+2*sina*cosa+1-2*sina*cosa

= 2

Hope this helps!

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