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Amiraneli [1.4K]
3 years ago
12

For each equation, determine whether it represents a direct variation, an inverse variation, or neither. Find the constant of va

riation when one exists and write it in simplest form.

Mathematics
1 answer:
rewona [7]3 years ago
6 0
Both inverse variation’s. K=constant=9,6
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Answer: Option d.

Step-by-step explanation:

The trigonometric identity needed is:

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Knowing that cot\theta=\frac{4}{3}:

Substitute it into csc^2\theta=cot^2\theta+1:

csc^2\theta=(\frac{4}{3})^2+1

Simplify the expression:

csc^2\theta=(\frac{4}{3})^2+1\\\\csc^2\theta=\frac{16}{9}+1\\\\csc^2\theta=\frac{25}{9}

Solve for csc\theta. Apply square root at both sides of the expression:

\sqrt{csc^2\theta}=\±\sqrt{\frac{25}{9}}

csc\theta=\frac{5}{3}

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Step-by-step explanation:

We know that in a parallelogram opposite sides are congruent.

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