Exact Value for sec (-600)?

1 Answer
Sridhar V.
May 8, 2018

#" "#
#"Exact Value of "##color(red)(sec(-600) = -2#

Explanation:

#" "#
Given: #color(blue)Sec(-600)#

Locate the angle first:

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Observe that the angle #color(blue)(-600^@# is in Quadrant-II.

The ratio #color(red)(Sec# is Negative in Quadrant-II.

Observe that the Reference Angle: #color(blue)(60^@#

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Note that we have a Special Triangle #color(blue)([30^@, 60^@, 90^@]#
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#color(red)(Sec(-600^@)="Hypotenuse/Adjacent"#

#rArr 2/1=2#

Both the ratios COS and SEC are Negative in Quadrant-II.

Hence the required value is #color(blue)((-2)#

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