Find the value of cos 47° sec 133° + sin 44° cosec 136°.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. 1/2
  2. 1
  3. 0
  4. - 1

Answer (Detailed Solution Below)

Option 3 : 0
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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Formula used:

sec (180° - θ) = - sec θ 

cosec (180° - θ) = cosec θ

cos θ × sec θ = 1 ; sin θ × cosec θ = 1

Calculation:

cos 47° sec 133° + sin 44° cosec 136°

⇒ cos 47° × sec (180° - 47) + sin 44° cosec (180° - 44°)

⇒ cos 47° × (- sec 47°) + sin 44° × (cosec 44°)

⇒ -1 + 1 = 0

∴ The correct answer is 0.

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