Question

Find the value: - 6/7 tan²30° + 4tan²45°​

Answer 1

Answer:

30 / 7

Step-by-step explanation:

$\frac{6}{7} { \tan(30) }^{2} + 4 { \tan(45) }^{2} = \frac{6}{7} ( {( \frac{1}{ \sqrt{3} })) }^{2} + 4 {(1)}^{2} \\ \\ = \frac{6}{7} \times \frac{1}{3} + 4 \\ \\ = \frac{6 + 21 \times 4}{21} \\ \\ = \frac{6 + 84}{21} \\ \\ = \frac{90}{21} \\ \\ = \frac{30}{7} .$