3 years ago

PLZ ANSWER !!! QUICKLY

Mathematics

1 answer:

a_sh-v [17]3 years ago

4 0

The answer is 560in^3

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Answer:

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Step-by-step explanation:

We have been given the expression:

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1 + 10 square theta (1 - sin square theta is equals to 1<br>

KengaRu [80]

Let's prove

$\boxed{\sf 1+tan^2\theta(1-sin^2\theta)=1}$

LHS

$\\ \sf\longmapsto 1+tan^2\theta(1-sin^2\theta)$

$\\ \sf\longmapsto 1+\dfrac{sin^2\theta}{cos^2\theta}(1-sin^2\theta)$

$\\ \sf\longmapsto \dfrac{cos^2\theta+sin^2\theta}{cos^2\theta}(1-sin^2\theta)$

$\\ \sf\longmapsto \dfrac{1}{cos^2\theta}(1-sin^2\theta)$

$\\ \sf\longmapsto \dfrac{1-sin^2\theta}{cos^2\theta}$

$\\ \sf\longmapsto \dfrac{1-sin^2\theta}{1-sin^2\theta}$

$\\ \sf\longmapsto 1$

Hence provee

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3 years ago