sin (45 + θ) - cos (45 - θ) is
Expression : sin (45 + θ) - cos (45 - θ)
= $$sin [90 - (45 - \theta)] - cos (45 - \theta)$$
$$\because cos (90 - \theta) = sin \theta$$
= $$cos (45 - \theta) - cos (45 - \theta)$$
= 0
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