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JayDelV
 one year ago
If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ?
JayDelV
 one year ago
If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ?

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Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439502598438:dw at which quadrant sin is positive

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0remember that CAST rule for signs

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right sin positive in 1st and 2nd quadrant given is tan < 0 is is less than 0 so at which quadrant you should draw a right triangle ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes right tan is negative in 2nd quadrant <0 dw:1439502785727:dw draw a right triangle \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0sin = opposite over hyp so \[\huge\rm \sin \theta = \frac{ 3 }{ 7 }=\frac{ opposite }{ hyp }\] opposite =3 hyp = 7 dw:1439502881389:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0now apply the Pythagorean theorem to find 3rd side of right triangle

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge\rm a^2+b^2=c^2\] c=hypotenuse
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