SOLUTION: Find exact value of tan(arcsec 1715 - cot -34)
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Question 757595: Find exact value of tan(arcsec 1715 - cot -34)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find exact value of tan(arcsec 1715 - cot -34)
***
let sec(x)=17/15
Identity:
tan(x)=8/15
..
let cot(y)=-3/4
tan(y)=-4/3
..
tan(arcsec 1715 - cot -34)=tan(x-y)
Identity:
=84/13
tan(arcsec 1715 - cot -34)=84/13
..
calculator check:
cos(x)=15/17
x≈28.07
tan(y)=-4/3
y≈126.87 (in Q2 where tan<0)
x-y=28.07-126.87≈-98.8 (in Q3 where tan>0)
tan(x-y)=tan(-98.8)≈6.46
exact value=84/13≈6.46
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