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Triss [41]
2 years ago
5

If sin()<0, find the value of cos() when cot()=25.

Mathematics
1 answer:
Tamiku [17]2 years ago
5 0

The value of cos theta is 2/√29

<h3>Trigonometry identity</h3>

A trigonometry identity are expressions expressed as cosine, tangent, sine.

Given the following trigonometry identity

cot theta = 2/5

1/tan theta = 2/5

tan theta = 5/2

Determine the hypotenuse

hyp² =5^2 + 2^2

hyp² = 25 + 4

hyp = √29

Determine the value of cos theta

cos theta= adj/hyp

cos theta= 2/√29

Hence the value of cos theta is 2/√29

Learn more on trigonometry identity here: brainly.com/question/7331447

#SPJ1

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Answer:

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Step-by-step explanation:

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3 years ago
Is the question statistical? What was the temperature at noon today in Raleigh, North Carolina?
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3 years ago
Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1
tatuchka [14]

Answer:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Where \frac{dx}{dt} and \frac{dy}{dt} are the first derivatives of x and y regarding t. Let be x(t) =2\cdot \cos t and y(t) = 8\cdot \sin t, their first derivatives are found:

\frac{dx}{dt} = -2\cdot \sin t and \frac{dy}{dt} = 8\cdot \cos t

Thus, equation for the slope is:

\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}

\frac{dy}{dx} = -\frac{4}{\tan t}

If \frac{dy}{dx} = -1, then:

-1 = -\frac{4}{\tan t}

\tan t = 4

Tangent is positive at 1st quadrant and is a function with a periodicity of \pi, the set of solutions are:

t_{1} = 0.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

t_{2} = 1.422\pi \pm \pi\cdot i, \forall \,i \in \mathbb{N}_{O}

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3 years ago
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