SSC CPO SI and ASI Model Paper 1

Question : 135 of 200

Marks: +1, -0

Find out the value of tan 5, θif tan 4θ × tan 6θ = 1.

Solution:

(2) tan 4θ × tan 6θ= 1

tan 4θ = 1/{tan6θ}

tan 4θ= cot 6θ
tan 4θ = tan (90° – 6θ)
4θ = 90° – 6θ
θ = 9°
∴ tan 5θ = tan 5(9°) = tan 45°= 1

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