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Mathematics 24 Online
OpenStudy (anonymous):

a right angle has an acute angle theta such that csc theta =7/3 find tan

OpenStudy (anonymous):

Same kind of question as before, except it blatantly tells you that you have a triangle whose csc is 7/3. So you would just need to set up a triangle, find the missing side and getthe tangent.

OpenStudy (anonymous):

csc is 1/y

OpenStudy (anonymous):

Well, what is csc in terms of the sidesof a triangle?

OpenStudy (anonymous):

1/3

OpenStudy (anonymous):

opposite hypotenuse

OpenStudy (anonymous):

Opposite and hypotenuse is sine, so since cosecant is the reciprocal, the sides of the triangle we want are hypotenuse over opposite. Since the problem tells us csc is 7/3, we can assume that 7 is the hypotenuse and that 3 is the opposite side. That kind of make sense?

OpenStudy (anonymous):

so is the answer (2sqrt 10) /3

OpenStudy (anonymous):

|dw:1387173603862:dw| tangent is opposite over adjacent. Looks liek you got something flipped.

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