मराठी

In ΔABC, cos (A + C)/2 is equal to ______. - Mathematics

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प्रश्न

In ΔABC, `cos  (A + C)/2` is equal to ______.

पर्याय

  • 0

  • 1

  • `cos  B/2`

  • `sin  B/2`

MCQ
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उत्तर

In ΔABC, `cos  (A + C)/2` is equal to `underlinebb(sin  B/2)`.

Explanation:

In any triangle A + B + C = 180°.

So, A + C = 180° – B and `(A + C)/2 = 90° - B/2`.

Therefore, `cos ((A + C)/2)` 

= `cos (90° - B/2)` 

= `sin (B/2)`

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पाठ 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18D [पृष्ठ ३८१]

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नूतन Mathematics [English] Class 9 ICSE
पाठ 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18D | Q 4. | पृष्ठ ३८१
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