The correct option is A True We know that cot(90^∘ θ) = tanθ Therefore, cot (90 47)^∘ = tan 47^∘ cot 43^∘ = tan 47^∘ tan 47^∘/cot 43^∘ = 1. ...

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Standard Values of Trigonometric Ratios

tan n 77∘/ 43...

Question

$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$

True

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False

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Solution

The correct option is A
True

We know that $c o t (90^{\circ} - θ) = t a n θ$

Therefore, $c o t (90 - 47)^{\circ} = t a n 47^{\circ}$
$c o t 43^{\circ} = t a n 47^{\circ}$
$\frac{t a n 47^{\circ}}{c o t 43^{\circ}} = 1$ .

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