Mathematics: What is the reciprocal of tanb in the triangle below?

What is the reciprocal of tanb in the triangle below?

susanspagoot6385

10.01.2022

Hence, The reciprocal of tan B is tan A

B is correct.

Step-by-step explanation:

We are given a right angle triangle. Right angle at ∠C

We need to find the reciprocal of tan B

First we write the formula of tan B using trigonometry identity.

$\tan\theta=\dfrac{\text{Opposite}}{\text{Base}}$

In ΔABC, ∠C=90°

$\tan B=\dfrac{AC}{BC}$

Now we reciprocal it.

$\dfrac{1}{\tan B}=\dfrac{BC}{AC}$

$\tan A=\dfrac{BC}{AC}$

Comparing both equation ( Right sides equal )

$\dfrac{1}{\tan B}=\dfrac{BC}{AC}=\tan A$

$\dfrac{1}{\tan B}=\tan A$

Hence, The reciprocal of tan B is tan A.

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zekiyekaya0571

10.01.2022

Step-by-step explanation:

Note that the reciprocal of tan B is by definition the cotangent (cot) of B:

1 adjacent side BC

= cot B = =

tan B opposite side AC

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anabellabenzaquen

29.06.2021

Its going up by 2 so if its in the middle its the next number so 7

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