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OpenStudy (anonymous):
cot 91* cot92* cot93* cot94*...............*cot 178* cot 179
What is the answer? Plz describe with proper formulae
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OpenStudy (experimentx):
write cot as cos/sin ... and , write all those terms as (90+x) on numerators and (180-x) on denominators and see what you get.
OpenStudy (anonymous):
\[\frac{ \cos(90+1).\cos(90+2).......\cos(90+88). \cos(90+89 }{ \sin(180-89). \sin(180-88).....\sin(180-2).\sin(180-1) }\] whats aftr this?? @experimentX
OpenStudy (experimentx):
yep ... what is value of \( cos(90+x) \) in terms of sin
and what is value of \( \sin(180-x) \) in term of sin ??
OpenStudy (anonymous):
dont know...!! @experimentX
OpenStudy (experimentx):
cos(90+x) = -sin(x)
sin(190-x) = sin(x)
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OpenStudy (experimentx):
you know cos(A+B) and sin(A+B) formula?
OpenStudy (anonymous):
yes @experimentX
OpenStudy (experimentx):
yep ... use it to show
cos(90+x) = -sin(x)
sin(190-x) = sin(x)
and use it on your problem.
OpenStudy (anonymous):
is the answer -1 @experimentX
OpenStudy (experimentx):
yep
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OpenStudy (anonymous):
thnQ @experimentX
OpenStudy (experimentx):
yw
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