RRB Assistant Loco Pilot and Technician Model Paper 16 with key

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Question : 57 of 75

Marks: +1, -0

If tan5θ = cot5θ, then find(tan5θ + cot5θ + 4) = ?

6
8
$2√3$ + 4
$2/√3$ + 4

Solution:

If tan

θ_1

= cot

θ_2

⇒

θ_1 + θ_2

= 90°
⇒ 5θ + 5θ = 10θ = 90° ⇒θ = 9°
∴ tan 45° + cot 45° + 4 =1 + 1 + 4 = 6

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