Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0?

Solution:

We can use trigonometric ratio to determine the required value.

In a triangle we know that

csc θ = hypotenuse / opposite

The value in the question is √17/4

Here

Opposite side = 4

Hypotenuse = √17

We know that

cot θ = adjacent / opposite

Using the Pythagoras theorem

a = √17² - 4²

a = 17 - 16

a = 1

So we get

cot θ = 1/4

Therefore, cot θ is 1/4.

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Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0?

Summary:

If csc θ = square root of seventeen divided by four and tan θ > 0, then cot θ is 1/4.