Question

3sin²45° + 2cos²60° =​

Answer 1

Answer:

3sin^2 45 degrees= 3(1/√2)^2

= 3(1/ 2)

= 3/2

2cos^2 60 degrees=2(1/2)^2

= 2(1/4)

= 1/2

3/2 + 1/2 = 4/2 = 2 .

Therefore,3sin^2 45 degrees + 2cos^2 60 degrees = 2.

Answer 2

Answer:

$3 sin² 45°+2cos²60°$

=>$3×({\frac{1}{√2}})²$$+2×({\frac{1}{2}})²$

=>$3×{\frac{1}{2}}$$+2×{\frac{1}{4}}$

=>${\frac{3}{2}}$$+{\frac{1}{2}}$

=>${\frac{3+1}{2}}$

=>${\frac{4}{2}}$

=>$2$