Question

What is the value of tan230° + 2 cot2 60° ?​

Answer 1

Answer:

The exact value is

2.34645413

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Answer 2

$\red{Value \: of \: tan^{2} 30\degree + 2 cot^{2} 60\degree }\\= tan^{2} 30\degree + 2 cot^{2} (90-30)\degree\\= tan^{2} 30\degree + 2 tan^{2} 30\degree\\= 3 tan^{2} 30 \\= 3 \times \Big(\frac{1}{\sqrt{3}}\Big)^{2} \\= 3 \times \frac{1}{3} \\= 1$

Therefore.,

$\red{Value \: of \: tan^{2} 30\degree + 2 cot^{2} 60\degree }\\\green {= 1 }$

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