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3 years ago

Evaluate cot 290º. Round your answer to the nearest hundredth. Explain each step

1 answer:

5 0

Looking at the unit circle:
tanӨ = tan(Ө <span>± 180k)
If we add/subtract 180° from our angle, it simply ends up on the other side of the unit circle. Since tan</span>Ө is represented as slope, the values of the two are the same.

cotӨ is defined as the reciprocal of tanӨ (1/tanӨ)
If tanӨ = tan(Ө ± 180k), then we could also say that
1/tanӨ = 1/tan(Ө ± 180k) which then becomes cotӨ = cot(Ө ± 180k)

Let's apply this to cot(290°).
Subtract 180° to find that cot(290°) = cot(110°)

cot(110°) = -cot(70°) because the angle has been reflected across the y axis, making its slope opposite.

-cot(70°) = -1/tan(70°) because of that reciprocal property from earlier
tan(70°) ≈ 2.75
-1/tan(70°) ≈ -0.36 = cot(290°)

(of course, most calculators can handle tan(110°), but if you're using a trig chart it might not be on there. include whichever steps are necessary)

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horrorfan [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Taya2010 [7]

Answer:

The range is { -1,3,7,11,15}

Step-by-step explanation:

The range is just the output values

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4 years ago

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yulyashka [42]

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3 years ago

A building manager installs sensors to see how often people turn off the lights when they leave the room. After a month the mana

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Answer:

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Step-by-step explanation:

The following statistics are given;

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jenyasd209 [6]

Step-by-step explanation:

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