यदि acot θ = b है, तब  का मान क्या होगा?

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SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 4)
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  1. b2 + a2
  2. 0

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दिया गया है

a cot θ = b

गणना

उपरोक्त सम्पूर्ण समीकरण को cosθ से विभाजित करने पर, हमें प्राप्त होता है:

⇒ (b - asinθ/cosθ)/(b + asinθ/cosθ)

⇒ (b - atanθ)/(b + atanθ)

⇒ (b - a × a/b)/(b + a × a/b) 

⇒ (b2 - a2)/(b2 + a2) 

व्यंजक का मान (b2 - a2)/(b2 + a2) है।

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