find the exact value of
cot(11pi/6)
cos(11pi/6)
csc(11pi/6)

Question

find the exact value of
cot(11pi/6)
cos(11pi/6)
csc(11pi/6)

anonymous · Answer

can I have the full solution please? thankyou!

hartnn · Answer

first remember that 11pi/6 is in 4th quadrant,
so only cos and sec ratio will be positive...
cot(11pi/6)=-cot (2pi-11pi/6)---->as cot x=-cot(-x)=-cot (2pi-x)
                 =-cot(pi/6)=- sqrt(3)
now cos(11pi/6)=cos (2pi-11pi/6)---->as cos x=cos(-x)=cos (2pi-x)
                        =cos(pi/6)=sqrt(3)/2
csc(11pi/6)=-csc (2pi-11pi/6)---->as csc x=-csc(-x)=-csc (2pi-x)
                 =-csc(pi/6)=- 2

hartnn · Answer

@ienarancillo

anonymous · Answer

|dw:1345523017399:dw| is this correct? thanks