Question

Sin45°×sin45°+sin30°×sin30°+sin60°×sin60°

Answer 1

Answer:

Sin 45° = $\frac{1}{\sqrt{2} }$

Sin 30° = $\frac{1}{2}$

Sin 60° = $\frac{\sqrt{3} }{2}$

∴ Sin45°×sin45°+sin30°×sin30°+sin60°×sin60° =( $\frac{1}{\sqrt{2} }$ x $\frac{1}{\sqrt{2} }$ )+( $\frac{1}{2}$ x  $\frac{1}{2}$) + ($\frac{\sqrt{3}}{2}$ x $\frac{\sqrt{3} }{2}$)

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

= (2+1+3)/4

=6/4

=3/2