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ANTONII [103]
3 years ago
15

Which of the following best explains how this relationship and the value of sin theta can be used to find the other trigonometri

c values?

Mathematics
1 answer:
Lena [83]3 years ago
8 0

Answer:

OPtion I is right

Step-by-step explanation:

Once we know sin of an angle, and it lies in II quadrant, we know that

cos, sec, tan and cot would be negative but csc will be positive.

So use the fact that

sin^{2}t+cos^{2} t=1\\cost =-\sqrt{1-sin^2 t}

Thus cos is obtained using negative square root.

Now tan = sin/cos, and sec = 1/cos:

cot =1/tan and csc =1/sin

Thus all value can be obtained easily

So option I

You might be interested in
A line has a slope of negative 3 and a y-intercept of 3 what is the x intercept of the line​
Naily [24]

Answer:

1

Step-by-step explanation:

y = mx+b where m is the slope and b is the y intercept

y = -3x +3

We want to find the x intercept

Set y = 0 and solve for x

0 = -3x+3

Subtract 3 from each side

-3 = -3x

Divide each side by -3

-3/-3 = -3x/-3

1 =x

5 0
3 years ago
The radius of a circle is 20 inches. Enter the area of the circle in square inches round your answer to the nearest tenth and us
mr_godi [17]

Answer:

\displaystyle 1256,6

Step-by-step explanation:

Use this formula to find the area of any circle:

\displaystyle πr^2 \\ \\ π20^2 = 400π ≈ 1256,637061 ≈ 1256,6

I am joyous to assist you anytime.

8 0
3 years ago
14) If there are 7 dogs for every 4 cats in an animal
Monica [59]

Answer:

819 of the animals are dogs.

Step-by-step explanation:

☆We can solve using proportion.

\frac{7 \: dogs}{4 \: cats}  =  \frac{x}{468 \: cats}  \\  \\  \frac{4x}{4}  =  \frac{3276}{4}  \\  \\ x = 819

7 0
2 years ago
PLS HELP!!! BRAINLIEST AND 50 POINTS!!!!! CORRECT ANSWERS ONLY PLS<br><br> What is the value of x?
Vinil7 [7]

Answer:

x = 27

Step-by-step explanation:

39/26 = x /18

cross multiply

26x = (39)(18)

26x = 702

x = 27

8 0
3 years ago
What is the equation of the line that has a slope of 13 and goes through the point (6,−2)?
dybincka [34]

Answer:

<h2>            y = 13x - 80  </h2>

{Or, if you mean slope of 1/3:  y = ¹/₃x - 4 }

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = 13

(6, -2)    ⇒   x₀ = 6,  y₀ = -2

The point-slope form of the equation:

y + 2 = 13(x - 6)

So:

y + 2 = 13x - 78        {subtract 2 from both sides}

y = 13x - 80            ←  the slope-intercept form of the equation

{Or, if you mean slope of ¹/₃:  m = ¹/₃

The point-slope form of the equation: y + 2 = ¹/₃(x - 6)

y + 2 = ¹/₃x - 2         {subtract 2 from both sides}

y = ¹/₃x - 4             ←  the slope-intercept form of the equation}

5 0
3 years ago
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