Let u be an angle in the 4th quadrant with cos u=8/9 Then sin u=

1 answer:

5 0

To solve for the last side of the triangle, use the Pythagorean Theorem:
(8)^2 + x^2 = (9)^2
x = sqrt of 17
However, this is a NEGATIVE sqrt 17 because the terminal side is in quadrant 4, meaning that this side is under the X-axis and therefore negative.
Now that you know the side opposite of u in the triangle, do opposite/hypotenuse.
sin u = -(sqrt 17)/9

You might be interested in

Based on the ratios shown ion the double number line, what is the cost for 5 pounds of almonds? :)

denis-greek [22]

I found the answer to this by first dividing 34 by 4 to get 8.5. We already know what 4 divided by 4 is. For every one pound of almonds, it costs $8.50. Since we know that we need to find out how much it costs for 5 pounds of almonds, we simply multiply 8.5 by 5 to get 42.5. It costs $42.50 to buy 5 pounds of almonds.

7 0

3 years ago

What steps would you use to plot (−3, −4, 0) in a 3-dimensional coordinate system?

eimsori [14]

Answer:

a. From the origin, move back 3 units and down 4 units

Step-by-step explanation:

Given:

The coordinates of a point in a 3-dimensional space is given as:

(-3, -4, 0)

The value of 'x' = -3

The value of 'y' = -4

The value of 'z' = 0

At the origin, the values of 'x', 'y', and 'z' are each equal to 0.

So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.

Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).

Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).

Therefore, the correct option is option (a)

A graph in 2 dimensional is shown in support of the answer.