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rudra333
 3 years ago
a math question
rudra333
 3 years ago
a math question

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rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0\[\cos ^{1}(\sin \frac{ 11\pi }{ 6 })\]

zugzwang
 3 years ago
Best ResponseYou've already chosen the best response.1Play with the values for this one... Let \[x = \cos^{1}(\sin \frac{11\pi}{6})\]and if we get the cosine of both sides, we are left with...\[\cos x = \sin \frac{11\pi}{6}\]perhaps it's simpler from here on in?

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0the answer is 2pi/3 ??

zugzwang
 3 years ago
Best ResponseYou've already chosen the best response.1You're right. Hang on... in general, \[\cos(\frac{\pi}{2}  \theta)=\sin(\theta)\] So \[\sin\frac{11\pi}{6}=\cos \left( \frac{\pi}{2}\frac{11\pi}{6} \right)\] \[=\cos \left( \frac{8\pi}{6} \right)\] It would appear \[x=\frac{4\pi}{3}+2k\pi\] where k is any integer. But since we're talking angles, adding 360 degrees, or 2pi, would give the same angle. Consider doing that here, because that negative angle ain't pretty XD \[x = \frac{4\pi}{3}+2\pi=\frac{2\pi}{3}\]

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0k thanks but this other one is hard \[\tan(\sin ^{1}\frac{ 5 }{ 13 }\]

zugzwang
 3 years ago
Best ResponseYou've already chosen the best response.1It's a bit complicated, but think of it this way... the SINE of the angle is 5/13, so what is its TANGENT?

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0here's what you do: sine of what angle will equal 5/13? Then you take that angle and take the tan of it.

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0but i how do i do that?

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0answer is 5/12 by the way

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358823550014:dw

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0so... tan of theta is ?

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0how did u get 12? and one is negative

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0oops didn't catch the negative

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0so if its negative then it means the angle is either in the third or fourth quadrant

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0however my answer would still be correct if the angle was in the 3rd quadrant

zaynahf
 3 years ago
Best ResponseYou've already chosen the best response.0Im sorry, i dont know how to work this out.

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0did the problems include restrictions?

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0but that's all the questions says

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0?? so is there or is there no restrictions like 180<theta<270 (for exmaple)

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0no that is all the question says do u know the answer plz i am confused i will just do others if u don't know this

alanli123
 3 years ago
Best ResponseYou've already chosen the best response.0alright... shoot gimme another question

rudra333
 3 years ago
Best ResponseYou've already chosen the best response.0it is k i am doing graphing
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