To simplify this expression, we need to use the trigonometric identities:
Given expression: sin(7π/2 - 2α) cos(3π - α) sin α
= cos(2α) (-cos(α)) sin α= -cos(2α) cos(α) sin α
Therefore, the simplified expression is -cos(2α) cos(α) sin α.
To simplify this expression, we need to use the trigonometric identities:
sin(π/2 - θ) = cos(θ)cos(π - θ) = -cos(θ)Given expression: sin(7π/2 - 2α) cos(3π - α) sin α
= cos(2α) (-cos(α)) sin α
= -cos(2α) cos(α) sin α
Therefore, the simplified expression is -cos(2α) cos(α) sin α.