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Mathematics 17 Online
OpenStudy (anonymous):

The equation sinx=(sqrt2)/2 is an identity. True or False?

OpenStudy (anonymous):

I want to say false, could anyone verify?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

definitely false, since sine is a function, not a number

OpenStudy (anonymous):

Ah, thank you! :D

jimthompson5910 (jim_thompson5910):

it's only true for specific x values but not all x values it needs to be a true equation for every value in the domain for it to be an identity

jimthompson5910 (jim_thompson5910):

examples 2 = 2 is an identity since it's always true x = x is also an identity (domain: All real numbers) tan(x) = tan(x) is an identity (domain: all real numbers but x can't equal multiples of pi/2)

OpenStudy (anonymous):

Thank you for the explanation, it makes much more sense now ^_^

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