Question

Cos²45°+sin²45°+sin²135°+sin²225°+sin²315°

Answer 1

Answer:

0.5

Step-by-step explanation:

cos 45=1 /√2

sin 45=1 /√2

sin 135=sin(135-90)=1 /√2

sin 225=-sin(225-90*2)=-1 /√2

sin 315=-sin(315-90*3)=-1 /√2

Therefore after squaring all values u get:

1/2+1/2+1/2-1/2-1/2  =  +1/2  =0.5