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OpenStudy (anonymous):
How can you get this without a calculator?
OpenStudy (anonymous):
Assume cos^-1 7/25 = theta
OpenStudy (anonymous):
this says basically if cosine of your number is 7/25, then what is the cosecant of your number
cosine is 7/25, by pythagoras sine is 24/25 so yes, that means cosecant is 25/24
OpenStudy (anonymous):
cos theta = 7/25
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so what's csc theta?
OpenStudy (anonymous):
|dw:1334806229729:dw|
OpenStudy (anonymous):
ohh I need to put cos 7/25 in pyth identity
OpenStudy (anonymous):
get sin, then put 1 over sin
OpenStudy (anonymous):
yes, then find sin theta and take the reciprocal
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OpenStudy (anonymous):
right, or even hypotenuse over opposite if you draw a triangle
OpenStudy (anonymous):
omg! so easy. Thanks guys!
OpenStudy (anonymous):
i wish my math book said that
OpenStudy (anonymous):
only difference between these problems and ones you have done before is the wording.
now you are asked for \(\csc(\cos^{-1}(x))\) before you were asked
"if cosine x = something, then what are the other trig functions?"
it is the same problem really