The value of tan - cosec - cot - is

Cot θ = 1/tan θ tan θ× cot θ = 1 ∴ tan θ× cosec θ× cot θ = tan θ× cot θ× cosec θ = 1 × cosec θ = cosec θ ...

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Trigonometric Ratios

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Question

The value of $t a n θ \times c o s e c θ \times c o t θ$ is

$c o t θ$

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$t a n θ$

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none of the above

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$c o s e c θ$

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\frac{\cos (2 π + θ) cosec (2 π + θ) \tan (π / 2 + θ)}{\sec (π / 2 + θ) cosθ \cot (π + θ)} = 1

\frac{cosec (90 ° + θ) + \cot (450 ° + θ)}{cosec (90 ° - θ) + \tan (180 ° - θ)} + \frac{\tan (180 ° + θ) + \sec (180 ° - θ)}{\tan (360 ° + θ) - \sec (- θ)} = 2

\frac{\sin (180 ° + θ) \cos (90 ° + θ) \tan (270 ° - θ) \cot (360 ° - θ)}{\sin (360 ° - θ) \cos (360 ° + θ) cosec (- θ) \sin (270 ° + θ)} = 1

\"{\"1 + cotθ - \sec (\frac{π}{2} + θ)\"}\" \"{\"1 + cotθ + \sec (\frac{π}{2} + θ)\"}\" = 2 cotθ

\frac{\tan (90 ° - θ) \sec (180 ° - θ) \sin (- θ)}{\sin (180 ° + θ) \cot (360 ° - θ) cosec (90 ° - θ)} = 1

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