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If 3 sin θ = 4 cos θ, then cot θ = ______. - Mathematics

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Question

If 3 sin θ = 4 cos θ, then cot θ = ______.

Options

  • `3/4`

  • `4/3`

  • `1/5`

  • `7/5`

MCQ
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Solution

If 3 sin θ = 4 cos θ, then cot θ = `bbunderline(3/4)`.

Explanation:

From 3sin⁡ θ = 4 cos⁡ θ we get tan ⁡θ = `4/3`.

cot θ = `1/tan θ = 3/4`

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Chapter 19: Trigonometry - MULTIPLE CHOICE QUESTIONS. [Page 238]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 19 Trigonometry
MULTIPLE CHOICE QUESTIONS. | Q 14. | Page 238
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