If sin ( A +B) = sin A cos B + cos A +sin B), then find the value of sin 75 ˚.
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Let A= 45° and B= 30°
sin 75°= sin(45°+30°)
= sin45°cos30° + cos45°sin30°
=(1/√2)×(√3/2) + (1/√2)×(1/2)
=√3/(2√2) + 1/(2√2)
=(√3+1)/2√2
by rationalizing,
=√2(√3+1)/4
sin 75°= sin(45°+30°)
= sin45°cos30° + cos45°sin30°
=(1/√2)×(√3/2) + (1/√2)×(1/2)
=√3/(2√2) + 1/(2√2)
=(√3+1)/2√2
by rationalizing,
=√2(√3+1)/4
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