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slavikrds [6]
3 years ago
8

Write the expression as the sine, cosine, or tangent of an angle.

Mathematics
2 answers:
-Dominant- [34]3 years ago
8 0
Cos(A - B) = cos(A)cos(B) - sin(A)sin(B)
Thus,
cos(8x)cos(2x) - sin(8x)sin(2x)
= cos(8x - 2x)
= cos(6x)
Bad White [126]3 years ago
6 0
Cos 8x cos 2x - sin 8x sin 2x = 1/2 sqrt(2+sqrt(3)
You might be interested in
Lucero wants to hang 3 paintings in her room. The widths of the paintings are 10 1/2 inches, 3 1/2 feet, 2 feet, and 2 3/4 inche
Marina86 [1]

Answer:

  7 ft 1 1/4 in

Step-by-step explanation:

The total width of 3 paintings and 2 spaces is ...

  (10.5 in) + (3 in) + (3 ft 6 in) + (3 in) + (2 ft 2 3/4 in)

  = (10.5 +3 +6 +3 +2.75) in + (3 +2) ft

  = 25.25 in + 5 ft = 1.25 in + 24 in + 5 ft

  = 7 ft 1 1/4 in

The total width of wall space needed for the paintings is 7 feet 1 1/4 inches.

_____

If two more 3-inch spaces are added, one on each end, then the total width is 7 feet 7 1/4 inches. The problem isn't clear about that, saying only that there are spaces between the paintings.

8 0
3 years ago
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Marina CMI [18]
<h2>Answer:</h2>

The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:

                                 Origin.

<h2>Step-by-step explanation:</h2>

A function f(x) is said to be a odd function if:

                    f(-x)=-f(x)

Also, an odd function always has a symmetry with respect to the origin.

whereas a function f(x) is said to be a even function if:

                      f(-x)=f(x)

Also, an even function has a symmetry with respect to the y-axis.

We know that:

Tangent function, cotangent function and cosecant function are odd functions.

Since,

\tan(-x)=-\tan x\\\\\cos (-x)=-\cot x\\\\\csc (-x)=-\csc x

( similarly sine function is also an odd function.

whereas cosine and secant function are even functions )

<em>Hence, the graph of tangent function, cotangent function and cosecant function  is symmetric about the origin.</em>

7 0
3 years ago
What degree would be classified as an obtuse angle but is close to being a straight line
Liono4ka [1.6K]

Answer: 171

Step-by-step explanation:

An obtuse angle means more than 90 degrees. (90 degrees would be the inside corner of your notebook paper) a straight line would be 180 degrees. 171 is the closest to 180

6 0
3 years ago
If f(x) is an exponential function where f(4) =17 and f (12.5) = 31, then find the value of f(18.5), to the nearest hundredth.
Svetradugi [14.3K]
Solution: f(18.5)=31.47

Step by step solution:
I started by making an equation in slope intercept form- I found the slope, 28/17, with the points (4, 17) and (12.5, 31). Then I found the y intercept, 1, with the point (4, 17). So the equation is y=28/17x+1. Then I just plugged 18.5 where the x is and solved for y

28/17(18.5)+1=y
28/17(37/2)+1=y
1036/34+1= y
30.47+1=y
y=31.47

Keep in mind that 1036/34 is not exactly 30.47 but that 30.47 was rounded to the nearest hundredth

Hope this helps :)
7 0
2 years ago
Anbody know the answer??
LiRa [457]
I'm going to have to go with choice "c". 10x - 1 with the remainder of  5
8 0
3 years ago
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