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If sec⁡ θ = 25/7 then sin θ = ?

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Question

If `sec θ = 25/7` then sin θ = ?

Options

  • `7/25`

  • `24/25`

  • `7/24`

  • `24/7`

MCQ
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Solution

`bb(24/25)`

Explanation:

`sec θ = 25/7`

⇒ `cos θ = 7/25`

∴ sin2θ = (1 – cos2θ)

= `(1 - 49/625)`

= `576/625`

⇒ `sin θ = sqrt(576/625)`

⇒ `sin θ = 24/25`

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Chapter 10: Trignometric Ratios - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 555]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 10 Trignometric Ratios
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 4. | Page 555
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