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Find the value of: tan2 30° + tan2 45° + tan2 60° - Mathematics

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Question

Find the value of:

tan2 30° + tan2 45° + tan2 60°

Sum
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Solution

tan2 30° + tan2 45° + tan2 60° = `(1/sqrt3)^2 + 1^2 + (sqrt3)^2`

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

= `(13)/(3)`

= `4(1)/(3)`

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Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [Page 291]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 2.1 | Page 291
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