If the perimeter of is square sarden is 84 feet what is the area of the garden

1 answer:

6 0

Because it’s a square garden each side is the same meaning 84/4 will give you the length of each side, in this case 21. to work out the area it is length x width so 21 x 21 is 441!

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Verify the pythagorean identity 1 + c o t ^2 θ = c s c ^2 θ

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Answer: The identity is verified. See the explanation.

Step-by-step explanation:

You must keep on mind the following identities:

$csc\theta=\frac{cos\theta}{sin\theta}\\\\csc\theta=\frac{1}{sin\theta}\\\\sin^2\theta+cos^2\theta=1$

Therefore, by substitution, you can rewrite the identity as shown below:

$1+cot^2\theta=csc^2\theta\\\\1+\frac{cos^2\theta}{sin^2\theta}=csc^2\theta$

Simpliying, you obtain:

$\frac{sin^2\theta+cos^2\theta}{sin^2\theta}=csc^2\theta\\\\\frac{1}{sin^2\theta}=csc^2\theta\\\\csc^2\theta=csc^2\theta$

The identity is verified.

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