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NARA [144]
3 years ago
6

HOW DO YOU FIND THE SINE, COSINE, AND TANGENT VALUES GIVEN A POINT ON A CIRCLE

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0
When the circle is centered at the origin and the angle of interest (α) is measured counterclockwise from the positive x-axis, the trig functions can be determined from the coordinates of the point (x, y) and the radius of the circle (r) (which can also be determined from the coordinates of the point).

The radius is
  r = √(x² +y²)

The trig functions are (remember SOH CAH TOA?)
  sin(α) = y/r
  cos(α) = x/r
  tan(α) = y/x

These ratios hold regardless of quadrant.
You might be interested in
-3(1-2x)=3x+3(x-3)+6
deff fn [24]

Let's solve this problem step-by-step.

−3(1−2x)=3x+3(x−3)+6

Step 1: Simplify both sides of the equation.

−3(1−2x)=3x+3(x−3)+6

(−3)(1)+(−3)(−2x)=3x+(3)(x)+(3)(−3)+6(Distribute)

−3+6x=3x+3x+−9+6

6x−3=(3x+3x)+(−9+6)(Combine Like Terms)

6x−3=6x+−3

6x−3=6x−3

Step 2: Subtract 6x from both sides.

6x−3−6x=6x−3−6x

−3=−3

Step 3: Add 3 to both sides.

−3+3=−3+3

0=0

So, 0=0 or all real numbers.

6 0
3 years ago
Is this relationship a function? (1,2) (2,9) (3,-2) (4,8)?
olganol [36]

Answer:

yes, it's a function

Step-by-step explanation:

A function relates one input to one output, and it's "only" one output.

6 0
3 years ago
Find the area of the polygon
Evgesh-ka [11]

Answer:

15

Step-by-step explanation:

The area of a parallelogram is just b*h

7 0
2 years ago
An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.
Orlov [11]
Arc length = radius * central angle (measured in radians)
There are <span> <span> <span> 57.2957795131 </span> </span> </span> degrees per radian so
45 degrees = (45 / <span> <span> <span> 57.2957795131) = </span></span></span> <span> <span> <span> 0.7853981634 </span> </span> </span> radians<span><span> </span> </span>
radius = arc length / central angle (radians)
radius = 6.5 / <span> <span> 0.7853981634 </span> </span> radians = <span> <span> <span> 8.2760570408 </span> </span> </span> cm

http://www.1728.org/radians.htm

8 0
2 years ago
May someone please help me with question 6 and 7?
svetlana [45]
Lowest wind chill temperature on Monday was 1/4(-36) = -9 F

The lakes initial level with respect of normal is -8 inches
New level after decreases = -8 - 1 1/4 - 2 3/8 = -11 5/8 inches.
5 0
3 years ago
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