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faust18 [17]
2 years ago
13

Someone please help me with this lol… have no idea what I’m doing

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

\sin^2\theta=1-\cos^2\theta

\sin \theta=\pm \sqrt{1-\cos^2\theta}

It is only negative because \theta lies in Quadrant IV. So,

\sin \theta=-\sqrt{1-\cos^2\theta}

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

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Which expression represents the total volume of the pictures shown if each cube has a side length of e?
Oliga [24]

Answer: I believe that you have to do e^3 to find the volume of a cube.

If you had the side, you would do a^3 (a stands for the side length)

4 0
3 years ago
What is the equation of the line in slope-intercept form?
belka [17]

Answer:

y = 3/5 x+3

Step-by-step explanation:

two points on the graph

(-5,0) (0,3)

the y intercept is 3  (this is where it crosses the y axis)

the slope is

change in y     0 to 3            up 3

------------------  = -------------- =  -------        =   3/5

change in x      -5 to 0             right 5


we can tell the slope is positive because it goes from bottom left to top right

a negative slope goes from top left to bottom right

slope intercept form is

y=mx+b

y = 3/5 x+3


3 0
3 years ago
Read 2 more answers
Kyla is hiking. She comes to this marker at a fork in the trail. Which of these gives the same distance to Cascade Falls? A 0.35
bija089 [108]

Answer:

Option B

3.5 miles

Step-by-step explanation:

Considering the picture attached, the distance to Cascade Falls is written in mixed fraction and the question wants it expressed in decimal. \frac {1}{2} is same as 1 divided by 2 which is 0.5 hence the fall is 3+0.5=3.5 miles

6 0
3 years ago
Rafael has ridden 14 miles of a bike course. The course is 40 miles long. What percentage of the course has Rafael ridden so far
oksian1 [2.3K]
Percentage ridden = 14/40 x 100 = 35%

Answer: 35%
5 0
3 years ago
Pls help i dont understand this question​
nikitadnepr [17]

Answer:

The difference is subtracting 6.5

19.5, 25, 31.5

Step-by-step explanation:

3 0
3 years ago
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