যদি 2 cot θ = 3 হয়, তাহলে এর মান নির্ণয় করুন।

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 1)
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Option 3 : 0
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প্রদত্ত:

2cotθ = 3

অনুসৃত সূত্র:

Sinθ = P/H

Cosθ = B/H

Tanθ = P/B

Cotθ = B/P

H2 = P2 + B2

যেখানে P = লম্ব

B = ভূমি 

H = অতিভুজ 

গণনা:

2cotθ = 3

⇒ cotθ = 3/2

(Cotθ = B/P) এর সাথে তুলনা করলে আমরা পাই

⇒ B = 3

⇒ P = 2

পিথাগোরাসের উপপাদ্য অনুসারে

⇒ H2 = P2 + B2

⇒ H2 = 22 + 32

⇒ H = √13

⇒ Sinθ = 2/√13

⇒ Cosθ = 3/√13

⇒ Tanθ = 2/3

প্রদত্ত সমীকরণে সমস্ত মান বসানো হল:

= ( √13 * 2/√13 - 3 * 2/3 )/ (3 * 2/3 + √13 * 3 /√13)

⇒ (2 - 2)/(2 + 3)

⇒ 0

রাশিটির মান 0

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