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Evaluate cosec θ sec θ

This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. cos θ + tan θ 
  2. cos θ - tan θ 
  3. tan θ - cot θ 
  4. cot θ + tan θ 

Answer (Detailed Solution Below)

Option 4 : cot θ + tan θ 
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Detailed Solution

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Calculation:

cot θ + tan θ   = cosθ /sinθ + sinθ/cosθ = cos2θ + sin2θ / sinθ ×  cosθ = 1/(sinθ ×  cosθ) = cot θ + tan θ 

Hence, The Correct Answer is cot θ + tan θ.

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