b) 200
The value of cot O when sec 0 =4, is
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Given function: cot θ=2
Draw a right △ABC,∠C=90 degrees and ∠=θ
We know that cotθ=BCAC=perpendicularbase=12
By pythagoras.Theorem
AB2=BC2+AC2
AB2=K2+4k2
AB2=5k2
AB=K√5
Find other T-rations using their definations:
sinθ=ABBC=(k√5)k=√51
cosθ=ABAC=(k√5)(2k)=√52
tanθ=ACBC=costhetasinθ=
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