Question

tan theta =13/14 , find the value of cot theta​

Answer 1

Given :-

• tan θ = (13/14)

To Find :-

• cot θ = ?

Solution :-

we know that,

• sin θ = Perpendicular/Hypotenuse
• cos θ = Base/Hypotenuse
• tan θ = Perpendicular/Base
• cosec θ = Hypotenuse/Perpendicular
• sec θ = Hypotenuse/Base
• cot θ = Base/Perpendicular.

so,

→ tan θ = (13/14)

→ Perpendicular/Base = (13/14)

then,

• Perpendicular = 13
• Base = 14 .

therefore,

→ cot θ = Base/Perpendicular

→ cot θ = (14/13) (Ans.)

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Answer 2

SOLUTION

GIVEN

$\displaystyle \sf{ \tan \theta = \frac{13}{14} }$

FORMULA TO BE IMPLEMENTED

Relation Between tanθ and cotθ

$\displaystyle \sf{ \cot \theta }$$\displaystyle \sf{ = \frac{1}{\tan \theta} }$

TO DETERMINE

$\displaystyle \sf{ \cot \theta }$

EVALUATION

Here it is given that

$\displaystyle \sf{ \tan \theta = \frac{13}{14} }$

Hence

$\displaystyle \sf{ \cot \theta }$

$\displaystyle \sf{ = \frac{1}{\tan \theta} }$

$\displaystyle \sf{ = \frac{1}{ \displaystyle \sf{\frac{13}{14} }} }$

$\displaystyle \sf{ = \frac{14}{13} }$

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