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konstantin123 [22]
3 years ago
15

R is inversely proportional to A.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
3 0

i  think it is b because i did the question

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Find exact values for sin θ, cos θ and tan θ if sec θ = 6/5 and tan θ < 0
k0ka [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\qquad \qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}\\\\
-----------------------------\\\\
sec(\theta)=\cfrac{6}{5}\cfrac{\leftarrow hypotenuse}{\leftarrow adjacent}
\\\\\\


\bf \textit{so.. using the pythagorean theorem, we get}
\\\\\\
c^2=a^2+b^2\implies \pm \sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}
\\\\\\
\textit{that simply means that }\pm \sqrt{6^2-5^2}=b\implies \pm \sqrt{11}=b

but.. which is it, the positive or negative version of "b"?  well.... we know tangent is < 0, that's another way of saying, tangent is negative

now.. .tangent is opposite over adjacent... for tangent to be negative, the sign of those two must differ

so.. where does that happens? well, it happens on the 2nd and 4th quadrants, so..... which quadrant then?

well, we know the hypotenuse is always positive, is just the radius anyway, and in this case is 6
but the adjacent is positive 5, that means the adjacent is positive, thus the opposite must be negative, and that happens on the 4th quadrant

so that means \bf -\sqrt{11}=b

so... now, you have all three sides, the hypotenuse, the adjacent, and the opposite, so, just fill those in, in the ratios for cosine, sine and tangent
6 0
3 years ago
the scale of a scientific drawing is 1 cm = 2in. If the actual length of an object in the drawing was 4.5 inches, how long would
Citrus2011 [14]

Answer:  2.25

Step-by-step explanation:

1 cm/ 2 in = x/ 4.5 in

2x = 4.5 in

4.5/2 = x

2.25 = x

6 0
3 years ago
Please help me outtttttttttt
Evgen [1.6K]

Answer:

is correct

Step-by-step explanation:

1/12

3 0
3 years ago
Find the value of m.
Marina CMI [18]
D the best answer My teacher help me into the equation
6 0
3 years ago
Who is correct between the two of them?
deff fn [24]

Answer:

Neither.

Step-by-step explanation:

I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!

3 0
3 years ago
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