If cos θ = , where m>n>0,and cosec θ <0 , express sin θ and tan θ in terms of m and n.

i don't really know how to even start it.

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- Jul 20th 2010, 05:39 AMtempq1express in m and n
If cos θ = , where m>n>0,and cosec θ <0 , express sin θ and tan θ in terms of m and n.

i don't really know how to even start it. - Jul 20th 2010, 05:50 AMAlso sprach Zarathustra
Hint(I think):

sin^2(x)+cos^2(x)=1 - Jul 20th 2010, 05:54 AMMathelogician
Use the identity sin^2(x)+cos^2(x)=1 and the definition of tangent.

Just note that cos(x)>0 (why?) - Jul 20th 2010, 06:29 AMtempq1
- Jul 20th 2010, 06:46 AMSoroban
Hello, tempq1!

Quote:

. .

is in a right triangle with: .

Using Pythagorus, we find that: .

And we can now express and

To apply the correctto our answer, we note that:*signs*

. . is positive: is in Quadrant 1 or 4.

. . is negative: is in Quadrant 3 or 4.

. . . . Hence, is in Quadrant 4.

*Go for it!*

- Jul 22nd 2010, 10:15 PMtempq1