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Question

2sin45°cos45°=1, how?


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Solution

Show that2sin45°cos45°=1

2sin45°cos45°=1

LHS=2sin45°cos45°=2×12×12sin45°=cos45°=12=2×12=1.....1RHS=1.......2

from1 and2,

2sin45°cos45°=1

Hence proved.


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