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Mathematics 9 Online
OpenStudy (kingdex04):

Quick Trig Question! Why is Cot 12 > than Cot 13? if that statement is correct

OpenStudy (shortypants):

The exact value of cot(13) cannot be found using sum and difference formulas or half-angle identities. The approximate decimal answer is 4.33147587.

OpenStudy (shortypants):

The exact value of cot(12) cannot be found using sum and difference formulas or half-angle identities. The approximate decimal answer is 4.70463010. 4.70463010

OpenStudy (shortypants):

there for coa 12 is > cot 13

OpenStudy (shortypants):

cot 12 *

OpenStudy (kingdex04):

so this statment is not correct?

OpenStudy (shortypants):

no it is correct

OpenStudy (shortypants):

cot 12 is > cot 13

OpenStudy (kingdex04):

would the same thing apply if they were both tan?

jimthompson5910 (jim_thompson5910):

tan(x) is an increasing function cot(x) is a decreasing function because it's the reciprocal of tan(x)

OpenStudy (kingdex04):

so if it were tan then this would be false

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

tan(12) < tan(13)

OpenStudy (kingdex04):

what about sin 12 & sin 13?

OpenStudy (mathstudent55):

If you write simply 12 or 13, with no units, that should refer to radians. Degrees have to be specified as degrees. Are your angles, 12 and 13, degrees or radians?

OpenStudy (kingdex04):

degrees

OpenStudy (mathstudent55):

Ok, then all that was written above is true.

OpenStudy (mathstudent55):

\(\Large \cot 12^\circ \gt \cot 13^\circ\)

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