(2) Show that cos 30 - sin 30 =(cos 0 + sin )(1-2 sin 20)
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cos(20°+θ)=sin30°
⇒cos(20°+θ)=cos(90°−30°)
⇒20°+θ=60°
⇒θ=40°
Hence, the answer is 40°.
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