6. If A = 30°, verify that cos 3A = cos 2A. cos A-sin 2A sin A.
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LHS
cos3A
=cos3×30
=cos90
=0
RHS
cos2A.cosA-sin2A.sinA
cos2×30.cos30-sin2×30.sin30
cos60.cos30-sin60.sin 30
1/2 ×root3/2 -root 3/2×1/2
root3/4 -root3/4
0
LHS=RHS
HENCE PROVED
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