The reciprocal of is 1-2

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Byju's Answer

Standard VI

Mathematics

Concept of Reciprocal or Multiplicative Inverse

The reciproca...

Question

The reciprocal of ____________ is $\frac{1}{2}$

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Solution

The product of a fraction and its reciprocal is always $1$
$\frac{1}{2} \times 2 = 1$

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${\frac{1}{(s e c^{2} θ - c o s^{2} θ)} + \frac{1}{(c o s e c^{2} θ - s i n^{2} θ)}} (s i n^{2} θ c o s^{2} θ) = \frac{1 - s i n^{2} θ c o s^{2} θ}{2 + s i n^{2} θ c o s^{2} θ}$

Q. Among

\frac{1}{12}

\frac{1}{15}

and

\frac{1}{17}

, is the greatest fraction

Q. If

α

β

γ

are the roots of

x^{3} + a x^{2} + b = 0

b \neq 0

then the determinant

Δ

, where

Δ = ∣ ∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{1}{α} & \frac{1}{β} & \frac{1}{γ} \frac{1}{β} & \frac{1}{γ} & \frac{1}{α} \frac{1}{γ} & \frac{1}{α} & \frac{1}{β} \end{matrix} ∣ ∣ ∣ ∣ ∣ ∣

equals

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The reciprocal of ____________ is 12

The product of a fraction and its reciprocal is always 112×2=1

The reciprocal of ____________ is $\frac{1}{2}$

The product of a fraction and its reciprocal is always $1$
$\frac{1}{2} \times 2 = 1$