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

Sum

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

Solution

tan2 30° + tan2 45° + tan2 60° = (1/sqrt3)^2 + 1^2 + (sqrt3)^2 = (1)/(3) + 1+ 3 = (13)/(3) = 4(1)/(3)

Concept: Trigonometric Ratios of Some Special Angles
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APPEARS IN

Selina Concise Mathematics 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