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3 years ago

What are the additive and multiplicative identities for any rational number

Mathematics

1 answer:

abruzzese [7]3 years ago

6 0

Step-by-step explanation:

natural numbers, whole numbers, and integers zero is the additive identity
1 is the multiplicative identity.

in case of rational numbers.

<h2>hope it helps.</h2><h2>stay safe healthy and happy.</h2>

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Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?

Bogdan [553]

Step-by-step explanation:

$\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}$

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$\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}$

$\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}$

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$\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}$

Taking sin²θ common in both numerator & denominator, We get :

$\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}$

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Hence, option (a) 2/3 is your correct answer.

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3 years ago

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Brilliant_brown [7]

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3 years ago

What are the additive and multiplicative identities for any rational number​

What are the additive and multiplicative identities for any rational number