Find the value of sec(-2730) and cosec (-1410)?( with full solution)
Class 11
Answers
Sec(-2730) = - 2/√3
Cosec(-1410) = 2
GIVEN: Sec(-2730) , Cosec(-1410)
TO FIND: Sec(-2730) , Cosec(-1410)
SOLUTION:
As we know,
1.) Sec ( -2730 )
= Sec ( 2520 + 210)
= Sec ( 7*360 + 210)
= Sec ( 210) [ as 2520 is a multiple of 360 ]
= Sec ( 180 + 30 )
= - Sec 30 [ as Sec is negative in first quadrant ]
= - 2/√3
Hence, the required value is -2/√3.
Also,
2.) Cosec ( −1410 )
= − Cosec ( 1410 )
= - Cosec ( 1380 - 30)
= − Cosec ( 4*360−30)
= - Cosec ( -30) [ as 1380 is a multiple of 360 ]
= - ( -Cosec 30) [ as Cosec is negative in first quadrant ]
= Cosec 30
= 2
Hence, the required value is 2.
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