Show that ; sin 90°=2 cos 45°.sin 45°
Answers
Answered by
6
sin 90=1
we know that if we get sum 90 when cos x+sin y then cos x=sin y
so cos 45=sin 45
cos 45 and sin 45=0.707106781
so
2*cos 45*sin 45=0.707106781²*2=1
we proved 2*cos 45*sin 45=1
we know that if we get sum 90 when cos x+sin y then cos x=sin y
so cos 45=sin 45
cos 45 and sin 45=0.707106781
so
2*cos 45*sin 45=0.707106781²*2=1
we proved 2*cos 45*sin 45=1
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Answered by
31
sin90°= 2sin45°cos45°
LHS
sin90°=1
RHS
2sin45°cos45°
We know that sin45°=cos45°=1/√2
2×1/√2 ×1/√2=2/2=1=LHS
LHS
sin90°=1
RHS
2sin45°cos45°
We know that sin45°=cos45°=1/√2
2×1/√2 ×1/√2=2/2=1=LHS
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