The value of 1-2-3-179- is

Name: JEE- Grade 11- Mathematics- Trigonometric Functions- Session 04- W05
Uploaded: 2022-07-04T10:36:42+05:30
Description: Since, 90^∘=0 ∴1^∘2^∘3^∘⋯90^∘⋯179^∘ =0 ...

Since, 90^∘=0 ∴1^∘2^∘3^∘⋯90^∘⋯179^∘ =0 ...

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Standard XIII

Mathematics

Sign of Trigonometric Ratios in Different Quadrants

The value of ...

Question

The value of $cot 1^{\circ} cot 2^{\circ} cot 3^{\circ} \dots cot 179^{\circ}$ is

\sqrt{3}

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Solution

The correct option is B $0$
Since, $cot 90^{\circ} = 0$
$∴ cot 1^{\circ} cot 2^{\circ} cot 3^{\circ} \dots cot 90^{\circ} \dots cot 179^{\circ} = 0$

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Sign of Trigonometric Ratios in Different Quadrants

Standard XIII Mathematics

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The value of cot1∘cot2∘cot3∘⋯cot179∘ is

The correct option is B 0Since, cot90∘=0 ∴cot1∘cot2∘cot3∘⋯cot90∘⋯cot179∘=0

The value of $cot 1^{\circ} cot 2^{\circ} cot 3^{\circ} \dots cot 179^{\circ}$ is

The correct option is B $0$
Since, $cot 90^{\circ} = 0$
$∴ cot 1^{\circ} cot 2^{\circ} cot 3^{\circ} \dots cot 90^{\circ} \dots cot 179^{\circ} = 0$