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Answer:
tan 6θ = √3 = 1.732 OR tan6θ = 54 = 1.37
Explanation:
cos9θ = sinθ, 9θ<90
sin[90-9θ] = sinθ
90-9θ = θ
90 = 10θ
θ = 9. [But We'll take θ = 10, you'll know why]
θ = 10
tan6θ = tan60
tan60 = √3
Therefore tan6θ = √3 = 1.732
[If θ = 9, then tan6θ = 54] But tan^-1(54) is not in the option.
Also tan^-1(54) = 1.37
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Hey mate this question is seems to be in place of tan 6 there should be tan5 ,if it is so your answer is in the given attachment
HOPE IT IS HELPFUL
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