33 sin 40 Solutioncos theta 35 here adjacent 3 hypotenuse5

Solution

cos theta= 3/5

here adjacent = 3

hypotenuse=5

opposite=sqrt(5²-3²)= 4

sin theta=opposite/hypotenuse= 4/5

sin 4 theta= 2 sin 2 theta cos 2 theta = 2(2 sin theta cos theta)(2 cos²theta -1)

                                                               = 2(2(4/5)(3/5))(2(3/5)² -1) = 48/25 * (-7/25)= -336/625