Question

tan5 tan30 4tan85   is equal to

Answer 1

Answer:

$\red {Value \:of \: tan5 tan30\cdot 4tan85}\green{=\frac{4}{\sqrt{3}}}$

Step-by-step explanation:

$Value \:of \: tan5 tan30 \cdot 4tan85 \\=tan(90-85) tan30 4tan85 \\=cot85 tan30 4tan85$

$\boxed { \pink { tan (90-A) = cotA }}$

$= 4 (cot 85 tan 85) tan 30\\=4\times 1 \times \frac{1}{\sqrt{3}}$

$\boxed { \pink { cotA \cdot tanA = 1}}$

$=\frac{4}{\sqrt{3}}$

Therefore.,

$\red {Value \:of \: tan5 tan30\cdot 4tan85}\green{=\frac{4}{\sqrt{3}}}$

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