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2 years ago

Dimitri's table top is a whole number of

Mathematics

1 answer:

Sladkaya [172]2 years ago

8 0

Answer:

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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

Evaluate the expression when a=-6 and c= 2 .<br> a-4c

Harman [31]

Answer:

-14

Step-by-step explanation:

a-4c=(-6)-4(2)=-6-8=-14. Hope this helps!

5 0

2 years ago

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What is the reciprocal of 159?

wariber [46]

<h2>Hey there! </h2>

<h2>The Reciprocal of 159 is:</h2>

$\frac{1}{159}$

${where \: 1 \: is \: hidden}$

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3 years ago

Evaluate the expression for the given value of the variable <br> 3a+4b; a= -6, b=-5

Dimas [21]

3 x -6 + 4 x -5
= -18+ -20
= -38

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3 years ago

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What does a cow use to cut the grass?

harina [27]

Is that the full thing?

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2 years ago