Answer:
2 is the right answer.
Step-by-step explanation:
(sin∅-cos∅)²+(sin∅+cos∅)² in this expression we will open the brackets first by squaring the expressions given inside.
(sin²∅+cos²∅-2sin∅cos∅)+(sin²∅+cos²∅+2sin∅cos∅)
Since (a+b)² = a²+b²+2ab and (a-b)² = a²+b²-2ab
⇒(1-2sin∅cos∅) + (1+2sin∅cos∅)
Since (sin²∅+cos²∅) =1
⇒ 1-2sin∅cos∅+1+2sin∅cos∅
⇒ 1+1
⇒ 2
Therefore the option 2 is right answer.
