pT Sin 780 sin480+cos120cos60=1/2
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sin780. sin480 + cos120.sin150
=sin(8 x 90+60).sin(5 x90+30) + cos(2 x90 -60).sin(2 x90 +30)
=sin60.cos30 + cos60.(-sin30)
=sin60.cos30 - cos60.sin30
=sin(60 -30)
=sin30
=1/2
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Identities Used: sin x = sin (180° - x) cos x = -cos (180° - x) sin x = cos (90° - x) cos (x + y) = cos x cos y - sin x sin y co
=sin(8 x 90+60).sin(5 x90+30) + cos(2 x90 -60).sin(2 x90 +30)
=sin60.cos30 + cos60.(-sin30)
=sin60.cos30 - cos60.sin30
=sin(60 -30)
=sin30
=1/2
Answers
Identities Used: sin x = sin (180° - x) cos x = -cos (180° - x) sin x = cos (90° - x) cos (x + y) = cos x cos y - sin x sin y co
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