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Evaluate the Following Tan2 30° + Tan2 60° + Tan2 45° - CBSE Class 10 - Mathematics

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Question

Evaluate the following

tan2 30° + tan2 60° + tan45°

Solution

tan2 30° + tan2 60° + tan45°  ....(i)

By trigonometric ratios we have

`tan 30^@ = 1/sqrt3       tan 60^@ = sqrt3         tan 45^@ = 1`

By substituting above values in (i), we get

`[1/sqrt3]^2 + [sqrt3]^2 + [1]^2`

`=> 1/3  + 3 + 1 => 1/3 + 4`

`=> (1 + 12)/3 = 13/3`

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Solution Evaluate the Following Tan2 30° + Tan2 60° + Tan2 45° Concept: Trigonometric Ratios.
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