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LUCKY_DIMON [66]
2 years ago
11

I dont know any of this-

Mathematics
1 answer:
artcher [175]2 years ago
3 0

Answer: the answer is c

Step-by-step explanation:

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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
Can someone help me on this please
Firlakuza [10]

The choices :

Three

B , E , D

6 0
3 years ago
If the scale factor of a dilation is 4/3 the image will be a reduction of the pre-image, because 4/3 is a fraction less than one
Law Incorporation [45]
True and sorry if I’m incorrect
6 0
2 years ago
A triangle has side lengths of 34 in., 20 in., and 47 in. Classify it as acute, obtuse, or right.
Anestetic [448]
34^2 + 20^2 = 1156 + 400 = 1556

47^2 = 2209

 because the squares of the 2 smaller sides is less than the square of the longer side the triangle is Obtuse

3 0
3 years ago
While traveling to the office, dolly drives her car at a speed of 60 kmph and then suddenly the car stopped on half of her dista
lisabon 2012 [21]

The average speed of Dolly is 33.33kmph.

Average Speed:

The average speed is defined as the total distance travelled by the object in a particular interval of time. It can be calculated by dividing the total distance travelled by the total time taken.

So, Average Speed = total distance / total time

Here,

Let the total distance is 100 km.

Therefore, consider she will travel 60 km at speed of 60 kmph , 30 km at speed of 30 kmph and 10 km at speed of 10 kmph.

she will required times of 1 hour, 1hour and 1hour

So,

Average speed = 100 / (1 + 1 + 1)

=> 100 / 3 = 33.33

To know more about Average speed here

brainly.com/question/12322912

#SPJ4

6 0
2 years ago
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