State if the given pairs of angles are coterminal.
(a) `-185^@,535^@" (b) "1000^@,270^@" (c ) "(15pi)/4,-(17pi)/4`

Answer

(a) coterminal (b) not coterminal (c ) coterminal

Explanation

(a) `alpha=-185^@,beta=535^@`
`beta-alpha=535^@-(-185^@)=270^@`
Hence, given angles are coterminal.
(b) `alpha=1000^@,beta=270^@`
`alpha-beta=1000^@-270^@=730^@`
Hence, given angles are not coterminal.
(c ) `alpha=(15pi)/4,beta=-(17pi)/4`
Here `alpha-beta=(15pi)/4-(-(17pi)/4)=(32pi)/4=8pi=4(2pi)`
Hence, given angles are coterminal.