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Without using tables, evaluate the following: tan230° + tan260° + tan245° - Mathematics

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प्रश्न

Without using tables, evaluate the following: tan230° + tan260° + tan245°

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उत्तर

tan230° + tan260° + tan245°

tan30° = `(1)/sqrt(3)`

tan60° = `sqrt(3)`
tan45° = 1
tan230° + tan260° + tan245°

= `(1/sqrt(3))^2 + (sqrt(3))^2 + 1`

= `(1)/(3) + 3 + 1`

= `(1 + 9 + 3)/(3)`

= `(13)/(3)`.

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पाठ 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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फ्रँक Mathematics [English] Class 9 ICSE
पाठ 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 1.05
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