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zloy xaker [14]
3 years ago
7

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:
defon3 years ago
7 0
The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
           h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

 sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
 cos  θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1
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High school students from grades 9–10 and 11–12 were asked to choose the kind of band to have play at a school dance: rap, rock,
yanalaym [24]
The correct two-way frequency table for the date will look like this:
                 
                               RAP      ROCK     COUNTRY     TOTAL
Grades 9-10           40           30            55                  125
Grades 11-12         60           25            35                  120
TOTAL                    100          55            90                  245

The sum of the row total is equal to the sum of the column total
125 + 120 = 100 + 55 + 90
245 = 245
8 0
3 years ago
Read 2 more answers
Find perimeter in cm of the diagram
boyakko [2]

3 sides of square is 3*12=36 cm


perimeter for the full circle is 2 * pi * radius


which is =2 * 22/7 * 12 =75.43 cm


so 360° =75.43 cm


for 150° = 75.43/360 *150 =31.43


all together =36 +31.43 =67.43 cm


8 0
3 years ago
Determine whether the point (1, 1) is a solution to the system of equations. Explain your reasoning in complete sentences. graph
erastova [34]
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
6 0
3 years ago
Determine the length of GH. Round to the nearest tenth.<br> 3.9 cm<br> G<br> 52<br> 642<br> H
sesenic [268]

Answer:

|GH| = 5,7 cm

Step-by-step explanation:

To know |GH|, you first need to find the length of |GD|.

We can calculate |GD| by;

cosG = |GC| / |GD|

<=> |GD| = |GC| / cosG

 => |GD| = 3,9 cm/ 0,62 = 6,33 cm

We now can easily calculate |GH| with the sinus of angle D;

sinD = |GH| / |GD|

<=> |GH| = sinD.|GD|

 => |GH| = 0,899.6,33 cm = 5,694 cm => 5,7 cm

I hope i did not make a mistake ...

5 0
3 years ago
Solve. Answer with a number only. -2/5(x+6)=10
malfutka [58]

Answer:

x= -31

Step-by-step explanation:

3 0
3 years ago
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