Question

$sin(45 + a) - sin(45 - a)$
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Answer 1

Answer:

sin(45° + a) - sin(45° - a)

=sin(45°)cos(a) + cos(45°)sin(a) - {sin(45°)cos(a) - cos(45°)sin(a)}

=(1/√2){cos(a)} + (1/√2){sin(a)} - {(1/√2){cos(a)}-(1/√2){sin(a)}

=(1/√2){ cos(a) + sin(a) } - [(1/√2){ cos(a) - sin(a)}]

=(1/√2){ cos(a) + sin(a) - cos(a) + sin(a) }

=(1/√2){2sin(a)}

=(2/√2){sin(a)}

=√2sin(a) [ANS.]

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