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(1 + cot θ - cosec θ)(1 + tan θ + sec θ)

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NDA (Held On: 18 Apr 2021) Maths Previous Year paper
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Answer (Detailed Solution Below)

Option 2 : 2
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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ধারণা:

ত্রিকোণমিতির সূত্র

cot θ = 

tan θ = 

cosec θ = 

sec θ = 

sin2 θ + cos2 θ = 1

(sin θ + cos θ)2 = sin2 θ + cos2 θ + 2 sin θ cos θ 

 

গণনা:

(1 + cot θ - cosec θ)(1 + tan θ + sec θ) -এর মান,

= (1 +  - ) (1 +  + )

= 2

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