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Lunna [17]
3 years ago
10

Please help (10POINTS)

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer: it’s d

Step-by-step explanation: i did that

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Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this
Lena [83]

Answer:

\sin\,\theta =-\frac{\sqrt{21} }{5}

\tan\,\theta =\frac{\sqrt{21} }{2}

\sec\,\theta = \frac{-5}{2}

cosec\,\theta =\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{2}{\sqrt{21} }

Step-by-step explanation:

\cos\theta =\frac{-2}{5}

As both sin\,\theta,

\theta lies in the third quadrant.

In the third quadrant,

\sin\theta

\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}

\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}

\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}

\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }

\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }

3 0
3 years ago
Find the given value of the function.<br><br> w(t) = 3t – 1; t =1/3
natima [27]

Answer:

1/3

Step-by-step explanation:

differentiate first equation to get t , then replace t with 1/3

5 0
3 years ago
II. Identify the following terms described in each item. Quantitative &amp; Qualitate. It can be separated into different catego
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It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.​

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2. A. interval

3. B. Quantitative data

4. B. Ratio

5. C. Quantitative

1. A random variable is called discrete if it has either a finite or a countable number of possible values.

A random variable is called continuous if its possible values contain a whole interval of numbers.

2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.

3. Quantitative data consist of numerical measurements or counts.

4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.

There is no value possible below 0 degrees Kelvin, it is absolute zero.

5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.

To learn more about the data visit:

brainly.com/question/4219149

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6 0
2 years ago
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for blue, 1/10 f
FromTheMoon [43]

Answer:

1/4

Step-by-step explanation:

4 0
3 years ago
Choose the expression that represents the prime factorization of 96.
fredd [130]

Answer:

3.2.2.2.2...

Step-by-step explanation:

The prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers

4 0
3 years ago
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