Question

cos(82°)cos(37°)+sin(82°)sin(37°) expression is the right side of the formula cos(a-b) with particular values for a and b

Answer 1

I hope this helps you



cos(82-37)=cos 45= sqrt 2/2

Answer 2

Since cos(α)cos(β) + sin(α)sin(β) = cos(α-β)

cos(82°-37°) = cos(45°) = $\frac{ \sqrt{2}}{2}$