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

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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 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (C) [Page 322]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
EXERCISE 21 (C) | Q 3. (i) | Page 322
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