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anonymous
 3 years ago
Find exact value: sin(2 cos^1(3/11))
anonymous
 3 years ago
Find exact value: sin(2 cos^1(3/11))

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zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0cos(x) = 3/11 has infinite solutions

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0forget what I said, they just want the one

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0cos^(1)(3/11) = 105.8 now sin(105.8) = .9622

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[put \cos^{1} \left( \frac{ 3 }{ 11 } \right)=x\] \[\cos x=\frac{ 3 }{ 11 }\] hence x lies in second or third quadrant. \[\sin x=\sqrt{1\left( \frac{ 3 }{11 } \right)^{2}}=\sqrt{1\frac{ 9 }{121 }}=\frac{ \sqrt{112} }{11 }\] sin x can be positive or negative according as x lies in second or third quadrant. plug in sin 2x= 2 sin x cos x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wow thank you so much!

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0woops I didn't notice the 2
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