sec (240) . solve this from the help of allied angle. sec (pie+theta)
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Answer (1)
19th Sep, 2020
Hello Student,
sec(x)=1/cos(x)
Also, cos(A+B)=cosA*cosB - sinA*sinB
Using these two,
sec(240)=1/cos(240) = 1/cos(pi+60)= 1/(cos180*cos60 - sin180*sin60)
Here, cos 180 = -1, sin180 = 0.
Hence,
the value would be 1/ (-cos60) = 1/(-1/2) = -2.
Hope this answers your question. This can also be done directly with the help of graphs as well.
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