Question

find the value of sin 75
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Answer 1

Answer:

$\red {\boxed{ \sf{{ = \frac{ \sqrt{3} + 1}{2 \sqrt{2} } }}}}$

$\huge \sf \underline{ Given\ \: : }$

$\sf \: value \: of \: \sin(75)$

$\huge \sf \underline{ To \: find\ \: : }$

$\sf \: the \: value \: of \sin(75)$

$\huge \sf \underline{ Solution\ \: : }$

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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Step-by-step explanation: