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Gnesinka [82]
3 years ago
11

Cos(2x) + sin^2(x) = 0

Mathematics
1 answer:
zloy xaker [14]3 years ago
7 0

cos(2<em>θ</em>) + sin²(<em>θ</em>) = 0

Half-angle identity:

cos(2<em>θ</em>) + (1 - cos(2<em>θ</em>))/2 = 0

Simplify:

2 cos(2<em>θ</em>) + 1 - cos(2<em>θ</em>) = 0

cos(2<em>θ</em>) = -1

Solve for <em>θ</em> :

2<em>θ</em> = arccos(-1) + 2<em>nπ</em>

2<em>θ</em> = <em>π</em> + 2<em>nπ</em>

<em>θ</em> = <em>π</em>/2 + <em>nπ</em>

where <em>n</em> is any integer.

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-1 + 14x = 12x + 17 Whats the answer ? what is x
Finger [1]

Answer:

x= 9

Step-by-step explanation:

Move the terms -> -1=14x = -12x + 16

Find out the sum -> 2x=17+1

Divide both by the equation by two -> 2x=18 x=9

Final answer: x=9

8 0
3 years ago
Find the measure of angle X in the triangle below.
Elan Coil [88]

Answer:

  X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

  sin(X)/26 = sin(67.38°)/24

  sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

  X = arcsin(0.99999901787) ≈ 89.92°

  X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

3 0
2 years ago
Read 2 more answers
What starts with a C ends with a W and is an animal?
natka813 [3]

Answer:

Mmmm let me think.mmmm oh a coW Moo

8 0
3 years ago
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Two groups of workers are painting a bridge in the bay. The first group is responsible for painting the north side of the bridge
artcher [175]

Answer:

They will each have painted 8 km. This goal will be met on Day 4.

Step-by-step explanation:

Group A | Group B

Start: 2   | Start: 5                               Day 1

2 + 2 = 4 | 5 + 1 = 6                            Day 2

4 + 2 = 6 | 6 + 1 = 7                             Day 3

6 + 2 = 8 | 7 + 1 = 8                            Day 4

4 0
3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
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