Question

Cos²45+Sin²60 + sin^2 30​

Answer 1

Explanation:

`{ \cos}^(2) 45 \degree + { \sin}^(2) 60 + { \sin}^(2) 30 \degree \\ = \bigg( (1)/( √(2) ) \bigg)^(2) + \bigg( ( √(3) )/( 2) \bigg)^(2) + \bigg( (1)/(2) \bigg)^(2) \\ \\ = (1)/(2) + (3)/(4) + (1)/(4) \\ \\ = (2)/(4) + (3)/(4) + (1)/(4) \\ \\ = (2 + 3 + 1)/(4) \\ \\ = (6)/(4) \\ \\ = (3)/(2) \\ \\ = 1 (1)/(2) \\`