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cos θ . tan θ is equal to ______. - Mathematics

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Question

cos θ . tan θ is equal to ______.

Options

  • cot θ

  • sin θ

  • cosec θ

  • sec θ

MCQ
Fill in the Blanks
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Solution

cos θ . tan θ is equal to sin θ.

Explanation:

`tan θ = (sin θ)/(cos θ)`.

So, `cos θ · tan θ = cos θ · (sin θ/cos θ)` = sin θ for angles where cos θ ≠ 0, since tan θ is defined then.

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Chapter 17: Trigonometric Ratios - Exercise 17B [Page 362]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 17 Trigonometric Ratios
Exercise 17B | Q 8. | Page 362
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