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Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Cos 78° + Sec 78° - Mathematics

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प्रश्न

Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cos 78° + sec 78°

उत्तर

We know `sec(90^@ - theta) = cosec theta` and `cos (90^2 - theta) =  sin theta`

`cos 78^@ + sec 78^@ = cos(90^@ - 12^@) + sec (90^@ - 12^@)`

`= sin 12^@ + cosec 12^@`

Thus the desired expression is  `sin 12^@ + cosec 12^@`

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पाठ 10: Trigonometric Ratios - Exercise 10.3 [पृष्ठ ५३]

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आरडी शर्मा Mathematics [English] Class 10
पाठ 10 Trigonometric Ratios
Exercise 10.3 | Q 3.4 | पृष्ठ ५३

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