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Hello!
Sin 75° = Sin ( 30 + 45 )°
= Sin 30° cos 45° + sin 45° cos 30°
= (1/2)(1/√2) + (1/√2)(√3/2)
=(1/2√2) +(√3/2√2)
=(1+√3)/2√2
=(1+√3)/2√2 × 2√2/2√2
[ Rationalisation ]
=(2√2 + 2√3)/8
=2(√2+√6)/8
=√2+√6/4 = answer
Happy to help you
#All the best
Sin 75° = Sin ( 30 + 45 )°
= Sin 30° cos 45° + sin 45° cos 30°
= (1/2)(1/√2) + (1/√2)(√3/2)
=(1/2√2) +(√3/2√2)
=(1+√3)/2√2
=(1+√3)/2√2 × 2√2/2√2
[ Rationalisation ]
=(2√2 + 2√3)/8
=2(√2+√6)/8
=√2+√6/4 = answer
Happy to help you
#All the best
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