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katen-ka-za [31]
2 years ago
14

Is 36.81 more than 36 or it is close to 37 than 36?

Mathematics
1 answer:
serious [3.7K]2 years ago
5 0

Answer:

36.81 is more than 36 and it is closer to 37

Step-by-step explanation:

.81 is bigger than .5

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If the sin=-3/5 , where cos>0 then what are the values of the remaining trig functions
garik1379 [7]
Now, keeping in mind that, sine is opposite/hypotenuse, and that the hypotenuse is just a radius unit, and therefore is never negative, then, in the fraction of -3/5, the negative values has to be the numerator, not the hypotenuse.

something else to keep in mind is that, cosine > 0, meaning is positive, that only happens in the I and IV quadrants.

since we know the sine is negative, and the cosine is positive, the only place that occurs is on the IV quadrant, so then θ is in the IV quadrant.

 \bf sin(\theta )=\cfrac{\stackrel{opposite}{-3}}{\stackrel{hypotenuse}{5}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\pm\sqrt{5^2-(-3)^2}=a\implies \pm\sqrt{25-9}=a\implies \pm\sqrt{16}=a
\\\\\\
\pm 4=a\implies \stackrel{IV~quadrant}{4=a}

\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\\\\\\
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\qquad 
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\quad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}\\\\
-------------------------------\\\\
cos(\theta)=\cfrac{4}{5}\qquad tan(\theta)=\cfrac{-3}{4}\qquad cot(\theta)=\cfrac{4}{-3}
\\\\\\
csc(\theta)=\cfrac{5}{-3}\qquad sec(\theta)=\cfrac{5}{4}
3 0
3 years ago
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bogdanovich [222]

Answer:

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6 0
2 years ago
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a can either b 6 or -6.

a = \pm 6

5 0
3 years ago
Write three equivalent ratios for the given ratio.<br>7. 12​
777dan777 [17]

Answer:

Step-by-step explanation:

7/12

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6 0
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algol [13]

Answer:

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7 0
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