Question

hello can you simplify this: sin²80+cos²50+cos²40+cos²100

Answer 1

$\frac{1}{2} \:$

Answer 2

Hey.......!!! here is ur answer.......☺️☺️☺️

Given that......sin²80+cos²50+cos²40+cos²100

=> sin²80+cos²50+cos²(90–50)+cos²(180–80)

=> sin²80+cos²50+[cos(90–50)]²+[cos(180–80)]²

As we know that,

cos(90–A) = sinA and cos(180–A) = –sinA.

then,

=> sin²80+cos²50+sin²50–sin²80

=> sin²50+cos²50

=> 1 { Because sin²A+cos²A = 1 }

I hope it will help you.......✌️✌️✌️