27. The value of sin 75° is
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Step-by-step explanation:
Answer. Sin(A+B)
= Sin A Cos B + Cos A Sin B. Sin 75
= Sin ( 45 + 30)
= Sin 45 Cos 30 + Cos 45 Sin 30. Sin 75
= (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2)
= [ √3 + 1] / 2√2
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Sin(A+B) = Sin A Cos B + Cos A Sin B.
Sin 75 = ( 1 / [cube root sign]2 ) ( [cube root sign] / 2 )
+ ( 1 / [cube root sign] 2 ) ( 1 / 2 ) = [ (cube root sign) 3 + 1 ] / 2 (cube root sign) 2
hope it helps you
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*where I have out ( cube root sign) put the sign of cube root*
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