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Explanation & Answer
Find the values in degrees without the aid of a calculator
a) tan ᶿ= √ 3= opp/adj
opp = √3, adj = 1, hyp = sqrt (3+1) = 2
So we have a triangle with ratio of sides = 1:√3:2
This is a 30-60-90 degree triangle
θ is opposite side √3, therefore it is the 60 degree
b) Cos ᶿ= 1/2= adjacent/opp=
his is a 30-60-90 degree triangle
therefore ᶿ= 60
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