What is the value of cot B in terms of a,b,c?

$\frac{b}{a}$

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$\frac{a}{b}$

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$\frac{c}{b}$

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$\frac{b}{c}$

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Solution

The correct option is B
$\frac{a}{b}$

We know that
$c o t B = \frac{Adjacent side}{Opposite Side}$

For the angle at B, the opposite side is AC and its length is $b$ . The adjacent side is BC, and its length is $a$ .

$∴ c o t B = \frac{B C}{A C} = \frac{a}{b}$

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Similar questions

Q. If a, b, c are real numbers such that

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a + b + c = 0 or, a = b = c

Q. If

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Q. If

∣ ∣ ∣ ∣ \begin{matrix} b + c & c + a & a + b a + b & b + c & c + a c + a & a + b & b + c \end{matrix} ∣ ∣ ∣ ∣ = k ∣ ∣ ∣ ∣ \begin{matrix} a & b & c c & a & b b & c & a \end{matrix} ∣ ∣ ∣ ∣

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What is the value of cot B in terms of a,b,c?

The correct option is B ab We know that cot B=Adjacent side Opposite Side For the angle at B, the opposite side is AC and its length is b. The adjacent side is BC, and its length is a. ∴cot B=BCAC=ab

The correct option is B
$\frac{a}{b}$

We know that
$c o t B = \frac{Adjacent side}{Opposite Side}$

For the angle at B, the opposite side is AC and its length is $b$ . The adjacent side is BC, and its length is $a$ .

$∴ c o t B = \frac{B C}{A C} = \frac{a}{b}$