Question

(cos0° + cos45° + sin30°) (sin90° - cos45° + cos60°)

Answer 1

7/4

Step-by-step explanation:

cos 0 = 1 ; cos 45=1/√2 ;sin 30=1/2

sin90=1;cos 45=1/√2;cos 60=1/2

(cos0+cos45+sin30)(sin90-cos45+cos60)

=(1+1/√2+1/2)(1-1/√2+1/2)

=[(2√2+2+√2)/2√2][(2√2-2+√2)/2√2]

=[(3√2+2)/2√2][(3√2-2)/2√2]

=(18-6√2+6√2-4)/8

=14/8

=7/4