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(cos 12^circ)/(sin 78^circ) + (tan 23^circ)/(cot 67^circ) = ?

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Question

`(cos 12^circ)/(sin 78^circ) + (tan 23^circ)/(cot 67^circ)` = ?

Options

  • 0

  • 1

  • 2

  • `3/2`

MCQ
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Solution

2

Explanation:

`(cos 12^circ)/(sin 78^circ) + (tan 23^circ)/(cot 67^circ) = (cos 12^circ)/(sin(90^circ - 12^circ)) + (tan 23^circ)/(sin(90^circ - 23^circ))`

= `(cos 12^circ)/(cos 12^circ) + (tan 23^circ)/(tan 23^circ)`

= 1 + 1

= 2

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 593]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 2. | Page 593
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