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anonymous
 4 years ago
Solve 1 = cot^2(x) = 8sinx, for 0(lesserthanorequalto) x (lesserthanorequalto) 360 degrees??
anonymous
 4 years ago
Solve 1 = cot^2(x) = 8sinx, for 0(lesserthanorequalto) x (lesserthanorequalto) 360 degrees??

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0r u sure u have correct question? The two '=' signs?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0my bad. didn't press shift.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ahh u could try replacing cot^2x with cosec^2x  1 = 1/sin^2x + 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but that would be 1 + coesc^2x  1, which would be cosec^x.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hmm lets try this: 1 + ( 1  sin^2x) = 8 sinx  sin^2x sin^2x + 1  sin^2x = 8 sin^3 x sin^3 x = 1/8 s in x = +/ 1/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0x = 30, 150, 210, 330 degrees

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0how did you get that?? \[1 + \cot^2x = 8sinx\] so \[cosec^2x = 8sinx\] now what??

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0cosec^2 x = 1 / sin^2 x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you replace cot^2x by cosec^2 x  1 because cosec^2x = 1 + cot^ 2 x

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but you can replace 1 = cot^2x by cosec^2x straight away!!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea right  i didnt see the obvious!  but my method comes out with the same answer. your way is better though! they both come to 1 / sin^2x = 8 sinx cross multiply: 8 sin^3 x = 1 sin^3 x = 1/8 sin x = 1/2 or 1/2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ohhh. cool. i didn't know how to simplify it :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but it can't be 0.5, though, can it??

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0hold on  sorry  im prone to error today the cube root of 1/8 is 1/2 only so x = 30, 150 only

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i think tahs correct now lol!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it's okayy, i have these weird days too :P

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can you help me with another question??

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0http://openstudy.com/study#/updates/4f241b73e4b0a2a9c2665f8a
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