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algol [13]
3 years ago
6

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

θ? Make sure to show all work.

Mathematics
1 answer:
mixer [17]3 years ago
6 0
Notice the picture below

x = 1 and y = -1

now... recall your SOH CAH TOA   \bf sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}

now.. what's the value for "r" or the radius? well, using the pythagorean theorem \bf c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
a=x\\
b=y\\
c=r
\end{cases}

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Instrument Panel
Elenna [48]
Some of them are too blurry to see, sorry i’ll answer the ones i can see:

C: Seat belt reminder
R: Fuel gauge
E: Oil temperature gauge
G: Tachometer
H: High beam indicator
I: Speedometer
F and J: Turn signal indicators
W: Transmission shift indicator
Y: Oil pressure gauge
Z: Odometer
L: Cruise control
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5 0
3 years ago
A car travels 1295 feet in 5 seconds. How far can the car travel in 50 seconds?
Vladimir79 [104]

Answer:

12950

Step-by-step explanation:

3 0
2 years ago
For alln∈N≥1(son≥1), and usingweakinduction, prove that:n∑i=1i3=[n(n+ 1)2]2Note that this result means that the sum of t
kirill [66]

Answer:

Step-by-step explanation:

hello,

the question is not really clear. i believe the intended equation would be

\sum_{k=1}^{k=n} k^3=\frac{(n(n+1))}{4}

please check the attached file for the step by step proof.

8 0
3 years ago
What is the radian measure of a 150° angle?
jolli1 [7]
Well, since we know that in π radians there are 180°, then how many radians in 150°?

\bf \begin{array}{ccll}
radians&de grees\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\pi &180\\
x&150
\end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{150}\implies \cfrac{\pi \cdot 150}{180}\implies \stackrel{simplified}{\cfrac{5\pi }{6}}
8 0
3 years ago
PLEASE HELP!!!
Sholpan [36]
P=12T

Q=66T

-----------

Toys added to each bag:

P=12T+nT

Q=66T+nT

Therefore, 66T+nT=3(12T+nT)

------------

66T+nT=36T+3nT

T(66+n)=T(36+3n)

66+n=36+3n

3n-n=66-36

2n=30

Therefore, n=30/2=15

-------------

*She added 15 toys to each bag.
6 0
3 years ago
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