যদি  হয় যেখানে  হল একটি সূক্ষ্মকোণ, তাহলে  এর মান কত হবে? 

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 3)
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Answer (Detailed Solution Below)

Option 3 :
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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প্রদত্ত:

, যেখানে θ একটি সূক্ষ্মকোণ

অনুসৃত সূত্র:

sin2θ + cos2θ = 1

tan θ =  , and এবং

cot θ = 

গণনা:

আমাদের  এবং  খুঁজে বের করতে হলে,  এর প্রয়োজন:

sin2θ + cos2θ = 1

cos θ = 

⇒ 

⇒ 

⇒ 

⇒ 

এখন,  এর মান গণনা করা যাক:

 ∴ tan θ  + cot θ এর মান হল 

Shortcut Trick 

 = P/H, আমরা পাইথাগোরিয়ান ট্রিপলেট জানি (8, 15, 17)

তাহলে, ভূমি (B) = 15, so tan θ = P/B = 8/15, cot θ = 15/17

⇒ tan θ + cot θ 

⇒ 8/15 + 15/8 

⇒ 

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