why are there two values of theta if tan theta = 0.4226

Answers

Answer 1

Answer:

[tex]22.91^\circ, 202.91^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan\theta=0.4226[/tex]

To find:

The two values of [tex]\theta = ?[/tex]

Solution:

By given equation:

[tex]\theta = tan^{-1}(0.4226)[/tex]

[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]

Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.

and following is also true:

[tex]tan\theta = tan(180^\circ+\theta)[/tex]

Therefore, another value possible for [tex]\theta[/tex] can be:

[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]

Therefore, the answer is:

[tex]22.91^\circ, 202.91^\circ[/tex]


Related Questions

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The inside of an oven is set to rise to a temperature of 298F . So far it has risen 76% of this amount.
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Answers

Answer:

Find 70% of 300

Step-by-step explanation:

I calculated the different percentages, and 70% of 300 was the one that came closest to 76% of 200.

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Answer:

Slope= 2/3, Equation= y=2/3x+2

Step-by-step explanation:

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Answer:

About 11 feet

Step-by-step explanation:

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Answers

Answer:

8 21/25

Step-by-step explanation:

so first make it 17/5 and 13/5. then times 17 by 13. the 5 by 5. then reduce it.

hope i helped.

Answer:

14 11/5

Step-by-step explanation:

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convert to improper fraction

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Answers

Answer:

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Step-by-step explanation:

Is -5 a solution to the equation 6x + 5 = 5x + 2x? Explain?

Answers

No -5 is not a solution. The correct answer would be 5.

Explanation:
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During the 2010 Great Backyard Bird Count, an average of
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Answers

Answer:

good luck

Step-by-step explanation:

What is the answer?!!

Answers

Answer:

12.

Step-by-step explanation:

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Answers

Answer:

3%

Step-by-step explanation:

2 meter = 200cm

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The graph shows the relationship between distance driven and gallons of gas used.

Continuous graph on a coordinate plane shows distance driven, numbered 20 to 60 along the horizontal axis, and gallons of gas used, numbered 1 to 4 on the vertical axis. Solid circles appear at points (0, 0), (30, 1), (60, 2).

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

The answer is 64. (D)

Plug in the values of the equation and evaluate. Use a calculator.

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Answers

Answer: 6.7*10^-5

Step-by-step explanation:

Answer:

-5

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Step-by-step explanation:

that's the answer brainliest plsss

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Answers

Answer:

Please check answer for explanation

Step-by-step explanation:

The independent variable is x

The dependent variable is y

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Answer:  see below

Step-by-step explanation:

8)   3x ≥ 24

   ÷3    ÷3  

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Graph:        ·--------→

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Interval Notation: [8, ∞)

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

The correct answer is B: ∠DGB is supplementary to ∠CGB. I got it right on my test.

Step-by-step explanation:

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Answers

Answer:

7.639

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answers

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