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Mathematics 17 Online
OpenStudy (anonymous):

solve

OpenStudy (anonymous):

\[\cos ^{2}\theta - \sin \theta = \frac{ 1 }{ 4 }\]

OpenStudy (anonymous):

\[\left( 0 \le \theta \le 360\right)\]

hartnn (hartnn):

write cos^2 = 1- sin^2 then you will get a quadratic in sin

OpenStudy (anonymous):

ok @hartnn i got it...but why the -ve value is not used to find the angles?

hartnn (hartnn):

negative value is used! the value which is less than -1 or greater than 1 is NOT used

hartnn (hartnn):

because the range of sin function is -1 to 1 so, sin theta can never be -3/2

hartnn (hartnn):

makes sense ?

hartnn (hartnn):

if you would have got -1/2, then you should use it

OpenStudy (anonymous):

thank you very much! :)

hartnn (hartnn):

welcome ^_^

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