Using the addition rule of the Sine function and the Cosine function, we obtain .
<h3>What are the formulas for (sin x + sin y) and (cos x + cos y)?</h3>
- The formula for the addition of two Sine functions () is .
- The formula for the addition of two Cosine functions () is .
Given that
Then using the above formulas, we get:
(1)
(2)
Dividing the equation (1) by (2), we get:
(3)
Now, we know that .
Thus, using the above formula, we get from (3):
Therefore, using the addition rule of the Sine function and the Cosine function, we obtain .
To know more about Sine and Cosine functions, refer: brainly.com/question/27728553
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Answer:
b) 7.5
Step-by-step explanation:
Diameter is any line that passes through the center of a circle (shown by the point). The radius is anyline that orginates at the center and goes outwards from the circle.
For
|a|<b
assume
-b<a<b
so
add 5 to both side
|-2-8x|<66
assume
-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8
the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
<u>To find the area of a complex shape</u>:
⇒ must split into simpler shapes
- a rectangle of <u>8m by 7m</u>
- a rectangle of <u>2m by 8 m</u>
<u>Now let's find</u>:
- Area of a rectangle of <u>8m by 7m</u>
- Area of a rectangle of <u>2m by 8m</u>
<u>Total Area</u> = 56 + 16 = <u>72 m²</u>
<u>Answer: 72 m²</u>
Hope that helps!
Answer:
In the explanation. :)
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b
to find the slope m and y-intercept b
.
Slope: 1/4
y-intercept:
(0,-3)
Hope this helps. Have a great day!