Mathematics
20 Online
OpenStudy (anonymous):
what is the value of tan22.5 + cot22.5 = ? without using calculator !
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OpenStudy (anonymous):
a)sqrt(3) /2
b)2
c)sqrt(2)
d) 2sqrt(2)
OpenStudy (shamim):
\[\tan 22.5+\cot 22.5\]
OpenStudy (shamim):
\[\tan 22.5+\frac{ 1 }{ \tan 22.5 }\]
OpenStudy (shamim):
r u following me
OpenStudy (anonymous):
ok i got 2 cosec2 times 22.5
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OpenStudy (shamim):
\[\frac{ \tan ^{2}22.5 +1}{ \tan 22.5 }\]
OpenStudy (anonymous):
i got the answer it's 2 sqrt 2 isn't it !
OpenStudy (shamim):
so wts ur problem
OpenStudy (anonymous):
thanks @shamim
OpenStudy (shamim):
i think u got result
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OpenStudy (shamim):
is not it
OpenStudy (anonymous):
i got lil bit confused !
OpenStudy (shamim):
why
OpenStudy (shamim):
u got \[\frac{ 2 }{ \sin45 }\]
OpenStudy (shamim):
is not it
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OpenStudy (shamim):
\[\frac{ 2 }{ \frac{ 1 }{ \sqrt{2} } }\]
OpenStudy (shamim):
\[2\sqrt{2}\]
OpenStudy (anonymous):
yeh i got the same !
OpenStudy (anonymous):
can you tell me how you did it ! @shamim
OpenStudy (shamim):
ya
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OpenStudy (shamim):
ya i can tell u
OpenStudy (shamim):
\[\frac{ \sec ^{2}22.5 }{ \tan 22.5 }\]
OpenStudy (anonymous):
yes then ?
OpenStudy (shamim):
\[\frac{ \frac{ 1 }{ \cos ^{2}22.5 } }{ \frac{ \sin 22.5 }{ \cos 22.5 } }\]
OpenStudy (shamim):
\[\frac{ 1 }{ \cos ^{2}22.5 } \times \frac{ \cos 22.5 }{ \sin 22.5 }\]
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OpenStudy (shamim):
\[\frac{ 1 }{ \cos 22.5 \sin 22.5 }\]
OpenStudy (shamim):
\[\frac{ 2 }{ 2 \sin 22.5 \cos 22.5 }\]
OpenStudy (shamim):
\[\frac{ 2 }{ \sin 2 \times 22.5 }=\frac{ 2 }{ \sin 45 }\]
OpenStudy (anonymous):
thank you very much !
OpenStudy (shamim):
u r most welcome