Question : The value of $ an 5^{\circ} an 25^{\circ} an 45^{\circ} an 65^{\circ} an 85^{\circ}$ is ______.
Option 1: 4
Option 2: 3
Option 3: 1
Option 4: 2

Question

Question : The value of $ an 5^{\circ} an 25^{\circ} an 45^{\circ} an 65^{\circ} an 85^{\circ}$ is ______.

Option 1: 4

Option 2: 3

Option 3: 1

Option 4: 2

Team Careers360 · Accepted Answer

Correct Answer: 1

Solution : $ an 5^{\circ} an 25^{\circ} an 45^{\circ} an 65^{\circ} an 85^{\circ}$
$= an 5^{\circ} an (90^{\circ} - 5^{\circ}) an 25^{\circ} an (90^{\circ} - 25^{\circ}) an 45^{\circ}$
$= an 5^{\circ} \cot 5^{\circ} an 25^{\circ} \cot 25^{\circ} imes 1$
$=1 imes 1 imes 1$
$= 1$
Hence, the correct answer is 1.

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Question : The value of tan⁡5∘tan⁡25∘tan⁡45∘tan⁡65∘tan⁡85∘ is ______.Option 1: 4Option 2: 3Option 3: 1Option 4: 2

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Question : The value of $\tan 5^{\circ} \tan 25^{\circ} \tan 45^{\circ} \tan 65^{\circ} \tan 85^{\circ}$ is ______.
Option 1: 4
Option 2: 3
Option 3: 1
Option 4: 2