cosec θ+ cot θ = 2 అయితే, cosec θ విలువ ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 4)
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  1. 5/4
  2. \(\)
  3. \(\)
  4. \(\)3/2

Answer (Detailed Solution Below)

Option 1 : 5/4
vigyan-express
Free
PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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ఇచ్చిన:

cosec θ +cot θ = 2

ఉపయోగించిన భావన:

1. cosec2 θ - cot2 θ = 1

2. a2 - b2 = (a + b)(a - b)

లెక్కింపు:

cosec θ+ cot θ = 2 ....(1)

కాన్సెప్ట్ ప్రకారం,

cosec2 θ - cot2 θ = 1

⇒ (cosec θ - cot θ)(cosec θ+cot θ) = 1

⇒ 2(cosec θ - cot θ) = 1

⇒ (cosec θ - cot θ) = 1/2 ....(2)

సాల్వింగ్ (1) మరియు (2), cosec θ =

∴  cosec θ విలువ  .

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