যদি 16 sec² θ – 40 sec θ + 25 = 0 θ একটি সূক্ষ্মকোণ হয়, তাহলে tan θ এর মান কত হবে?

Question

Question

This question was previously asked in

NTPC CBT-I (Held On: 12 Jan 2021 Shift 1)

Answer 1

প্রদত্ত:

16 sec² θ – 40 sec θ + 25 = 0

গণনা:

⇒ 16 sec² θ – 40 sec θ + 25 = 0

⇒ 16 sec² θ – 2 × 4 × 5 sec θ + 25 = 0

⇒ (4secθ - 5)² = 0

⇒ 4secθ = 5

⇒ secθ = 5/4

তাহলে,

⇒ 1 + tan²θ = sec²θ

⇒ tan²θ = 25/16 - 1 = 9/16

∴ tanθ = 3/4

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