Evaluate sec 240Á without using a calculator by using ratios in a reference triangle.

Question

04-11-2016
Mathematics

contestada

Evaluate sec 240Á without using a calculator by using ratios in a reference triangle.

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syed514 syed514 · Answer 1 · 2016-11-09T15:53:12+01:00

syed514 syed514

09-11-2016

60=pi/3
cos 60 = 0.5
sec 240 = 1/ cos 240
cos 240 = cos (180+60)
cos (180+x) = -cos x
cos (180+x) = -cos x
so
cos 240 = -cos 60
= -0.5
sec 240 =1/ cos 240
= 1/(-0.5)
= -2

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scme1702 scme1702 · Answer 2 · 2016-11-13T19:41:33+01:00

scme1702 scme1702

13-11-2016

sec∅ = 1/cos∅
= 1/cos(240)
= 1/cos(180 + 60)
= 1/-cos(60)
= 1/(-1/2)
= -2

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