What is sin(θ)-sin(pi/2-θ) ?

The solution to sin(θ)-sin(pi/2-θ) is sin(θ)-cos(θ)

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simplify sin(θ)-sin(pi/2-θ)

simplify

sin (θ) - sin (\frac{π}{2} - θ)

sin (θ) - cos (θ)

Solution steps

sin (θ) - sin (\frac{π}{2} - θ)

Rewrite using trig identities

= sin (θ) - cos (θ)

cos (9 π + a)

csc (\frac{π}{2} + a)

csc (- x + \frac{π}{2})

csc (arccos (\frac{2 x}{3}))

sin (arccos (\frac{x}{12}))

What is sin(θ)-sin(pi/2-θ) ?
The solution to sin(θ)-sin(pi/2-θ) is sin(θ)-cos(θ)