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loris [4]
3 years ago
7

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

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0
Sec∅ = 1/cos∅
= 1/cos(240)
= 1/cos(180 + 60)
= 1/-cos(60)
= 1/(-1/2)
= -2
balandron [24]3 years ago
6 0
<span>60=pi/3
cos 60 = 0.5
</span><span>sec 240 = 1/ cos 240
 cos 240 = cos (180+60)
cos (180+x) = -cos x
</span><span>cos (180+x) = -cos x
so
cos 240 = -cos 60
              = -0.5
</span><span> sec 240 =1/ cos 240
              = 1/(-0.5)
              = -2</span>
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