Question

Principal solution of this equation Sin x=-1/√2

Answer 1

Given :

$\sin(x) = \frac{ - 1}{ \sqrt{2} }$

To Prove :

x = ?

Formula needed :

sin 45° = 1 / 2

Solution :

$\sin(x) = \frac{ - 1}{ \sqrt{2} } \\ \\ \sin(x) = - (\sin(45) ) \\ \\ sin \: \: gets \: \: cancelled \: \: on \: \: both \: \: sides \\ \\ x = 45$

Answer :

x = 45

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Answer 2

Step-by-step explanation:

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