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Q.

Let α=Tan5π16Sin2Cos115 and β=CosSin145+Sec153 Where the inverse Trigonometric functions take principal values then The equation whose roots are α and β is

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a

25x232x+7=0

b

5x212x+7=0

c

25x218x7=0

d

15x28x7=0

answer is C.

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Detailed Solution

Cosθ=15,Sinθ=25,Sin2θ=22515=45α=Tan5π1645=Tanπ4=1
β=CosSin145+Cos135=CosCos135+Cos135=Cos2Cos135=Cos2θ,Cosθ=35=2Cos2θ1=29251β=725

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