1.

Prove that:(i) sin (60° − θ) cos (30° + θ) + cos (60° − θ) sin (30° + θ) = 1.(ii) sin4π9+7cosπ9+7-cos4π9+7sinπ9+7=32(iii) sin3π8-5cosπ8+5+cos3π8-5sinπ8+5=1

Answer» Prove that:

(i) sin (60° − θ) cos (30° + θ) + cos (60° − θ) sin (30° + θ) = 1.

(ii) sin4π9+7cosπ9+7-cos4π9+7sinπ9+7=32

(iii) sin3π8-5cosπ8+5+cos3π8-5sinπ8+5=1


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