Question

if 5 cos theta + 12 sin theta is equals to 13 find sin theta

Answer 1

5 cos∅+ 12 sin∅ = 13
cos∅*5/13 + sin∅*12/13 = 1
let sinα = 5/13
cosα = 12/13

cos∅*5/13 + sin∅*12/13 = 1
sin(α+∅) = sin 90°
∅=90-α
sin∅ = cosα =12/13