Consider how the given equation can be modified using all of the various Trigonometric Identities.
See solution.
Practice makes perfect
Before we can verify the given identity, we need to first consider which Trigonometric Identities will be useful in this equation.
Let's recall the Angle Difference Identity for the sine.
sin ( A - B ) = sin A cos B - cos A sin BWith this relationship in mind, let's verify the identity!
- sin ( θ - π/2 ) ? = cos θ
sin(α-β)=sin(α)cos(β)-cos(α)sin(β)
- ( sin θ cos π/2 - cos θ sin π/2 ) ? = cos θ
