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ZanzabumX [31]
3 years ago
11

Determine the exact values of the six trigonometric functions of the real number t

Mathematics
2 answers:
Gnoma [55]3 years ago
6 0
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad\qquad \qquad 
cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\
-------------------------------\\\\
\textit{the point on the graph is }\left( \stackrel{cosine}{-\cfrac{8}{17}}~,~\stackrel{sine}{\cfrac{15}{17}} \right)

now, keep in mind that, the hypotenuse is just the radius unit, so is never negative, so if the cosine is negative, that simply means it has to be the numerator, the 8 is negative, -8. that means

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{-8}}{\stackrel{hypotenuse}{17}}\qquad \qquad sin(\theta )=\cfrac{\stackrel{opposite}{15}}{\stackrel{hypotenuse}{17}}


so, the adjacent is -8, the opposite side is 15, and the hypotenuse is 17, so just plug them in then

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad
cos(\theta)=\cfrac{adjacent}{hypotenuse}
\quad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\\\\\\
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\quad 
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\qquad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}
NeTakaya3 years ago
4 0
Di uh e u dhehrrvhrhrhrhrgr u ej
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Find x please help this is literally my final exam
hoa [83]

Answer is B

Step-by-step explanation:

You have the side opposite the angle and the Hypotenuse so use soh

Sine(x) = opposite/Hypotenuse

Sine(x) = 9/19

X = sin-1(9/19) - - - - - here the - 1 is to the power of

X= 28,27371363

X= 23,3

8 0
2 years ago
Last year, Lien earned $1,600 more than her husband. Together they earned $51,000. How much did each of them earn?
jok3333 [9.3K]

Answer:

Lien: $26300 Her husband: $24700

Step-by-step explanation:

x+(x+1600)=51000

2x+1600=51000

2x=49400

x=24700

Her husband earned 24700

24700+1600=26300

Lien earned 26300

3 0
3 years ago
A rectangle made of square tiles measures 7 tiles long and 3 tiles wide. what is the length of a similar rectangle whose width i
Norma-Jean [14]
The length of the rectangle would be 21

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6 0
3 years ago
(4k^5-9k^4+k^3-7k^2-9k+28)/4k-5
vlada-n [284]

Answer:

=k6+ −9 /4  k5+ 1 /4  k4+  −7 /4  k3+  −9 /4  k2+7k−5

Step-by-step explanation:

7 0
3 years ago
A.(3,7) is a solution to the linear system.
uysha [10]

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for a linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

8 0
2 years ago
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