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Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Sec 76° + Cosec 52° - CBSE Class 10 - Mathematics

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Question

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

sec 76° + cosec 52°

Solution

We know that `sec(90^@ - theta) =  cosec theta` and `cosec (90^@) =  sin theta` So

`sec 76^@ + cosec 52^@ = sec(90^@ - 14^@) + cosec (90^@ - 38^@)`

`= cosec14^@ + sec 38^@`

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Solution Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Sec 76° + Cosec 52° Concept: Trigonometric Ratios of Some Specific Angles.
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