The value of 2 sin π 22 sin 3 π 22 sin 5 π 22 sin 7 π 22 sin 9 π 22 is equal to:

Step-by-step solution

Given, 2 sin π 22 sin 3 π 22 sin 5 π 22 sin 7 π 22 sin 9 π 22 Now by we know that sin θ = cos π 2 - θ , so by using this we get sin π 22 = cos π 2 - π 22 = cos 5 π 11 and similarly sin 3 π 22 = cos 4 π 11 ,   sin 5 π 22 = cos 3 π 11 ,   sin 7 π 22 = 2 π 11 ,   sin 9 π 22 = cos π 11 So, 2 sin π 22 sin 3 π 22 sin 5 π 22 sin 7 π 22 sin 9 π 22 = 2 cos 5 π 11 cos 4 π 11 co