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If sec θ + tan θ + 1 = 0 then (sec θ – tan θ) = ?

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Question

If sec θ + tan θ + 1 = 0 then (sec θ – tan θ) = ?

Options

  • 1

  • –1

  • 0

  • 2

MCQ
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Solution

–1

Explanation:

sec θ + tan θ + 1 = 0 

⇒ sec θ + tan θ = –1

(sec2θ – tan2θ) = 1 

⇒ (sec θ + tan θ)(sec θ – tan θ) = 1

⇒ (–1) × (sec θ – tan θ) = 1

⇒ (sec θ – tan θ) = –1

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Chapter 10: Trignometric Ratios - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 556]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 10 Trignometric Ratios
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 13. | Page 556
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