Which of the following options represents a logical first step that can be used
1
2
to prove the trigonometric identity
1-sin(x) '1+sin(x) cos? (x)
+
?
O
A.
1+sin(x) +1-sin(x)
1-sin(x)
2
cos? (x)
B.
1
1
1
1-sin(x) 1+sin(x)
1
2
cos(x)
C.
2
1
1-sin(x) cos(x) 1+sin(x)
D.
2
1
1+sin(x) cos'(x) 1-sin(x)

Which Of The Following Options Represents A Logical First Step That Can Be Used12to Prove The Trigonometric

Answers

Answer 1

Answer:

A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Step-by-step explanation:

By combining the fractions on the left side into one fraction, we have:

[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]

Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].


Related Questions

Leila is buying a dinosaur model. The price of the model is z dollars, and she also has to pay a 7% tax.
Which of the following expressions could represent how much Leila pays in total for the model?

Answers

Answer:

T=z(0.07)+z

Step-by-step explanation:

Dat right der

what is 3/8 x(1 -1/3)

Answers

Answer:

1/4x

Step-by-step explanation:

3/8x(1-1/3)

3/8x - 1/8x = 1/4x

I hope that's right.

i literally have a test tomorrow and dont know what to do please help

Answers

B is yes and the rest are no. B is the only solution where y equals 1.

Answer:

(-6, 1)

Step-by-step explanation:

y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number.  Four points are given.  y = 1 for only one of them:  (-6, 1).  Answer "Yes" for this one point (the one in the second row).

Solve the system using substitution

3x - 6y =30
y = -6x + 34

Answers

x = 6

y = -2

(explanation in image)

Answer:

3x - 6(- 6x + 34) = 30 3x + 36x - 204 = 30 40x - 204 = 30 40x = 234x = 5.85

then solve for y as a linear equation

Step-by-step explanation:

Have a nice day !!!! :)

An unknown number is twelve less than
four

Answers

Answer:

-8

Step-by-step explanation:

4 - 12 = -8 hope I'm right lol

The other person is correct -8 is the answer you can also use a calculater if you are unsure

Work out the sum of the first 60 terms of the following arithmetic series:
100 + 94 + 88 +...

Answers

Answer:

[tex]S_{60}=-4620[/tex]

Step-by-step explanation:

[tex]S_n=\frac{n}{2}[2a_1+(n-1)d]\\ \\S_{60}=\frac{60}{2}[2(100)+(60-1)(-6)] \\\\S_{60}=30[200+(59)(-6)]\\ \\S_{60}=30[200-354]\\ \\S_{60}=30[-154]\\\\S_{60}=-4620[/tex]

1/4 + -3/4 fractions

Answers

-2/4

hope this helps

Montrer que le cube d’un nombre pair est un multiple de 8

Answers

Answer:

so the answer is 16? I dont know , need a better explanation on the question. ill answer until then.

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

the answer might be 56

what is 13,300 divisble by

Answers

Answer:

the answer is 133×100 is 13,300........

find the unknown size of angles ​

Answers

Step-by-step explanation:

y+110=180 (cointerior angle)

y=180-110

y=70

y=z(Alternate angle)

z=70

x=z(corresponding angles)

x=70

Hope this helps.

{(1, 1), (2, 1), (-2, 1), (-1, 1)}

Function or Not a Function?

Answers

Answer: It is a function

Explanation: all the X’s are different
It is a function because no one x is the same.

Find the equation of the lines passing through the point A(3,-4) and (1)parallel, (2)perpendicular to the line 4x+3y=8.If these lines meet the line 2x+y=1 in points B and C ,find the area of triangle ABC.​

Answers

C
Find area of triangle

-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4

Answers

Answer:

2

Step-by-step explanation:

-3÷3 (1 + (-4) (-6 + 5) - (-6 + 1)

-3 ÷ 3 (-3)(-1) - (-5)

-3 ÷ 3(3) + 5

-3 ÷ 3 = -1

-1(3) + 5

-3 + 5 = 2

I hope this helps!

Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°

Answers

Answer:

a and d

Step-by-step explanation:

v and w are parallel lines

R is the transversal

Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea

a and d are alternate exterior angles

i really need some help on this math problem?can you help me

Answers

Answer:

7 units

Step-by-step explanation:

Forming an equation:

There is a one-time signup fee. Let that be represented by "a".

Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.

==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.

If we represent her total cost after membership by "y", our equation becomes:

[tex] \boxed{ \sf{y = a + bx}}[/tex]

We're provided with three values of x and y.

When x = 6, y = 133When x = 12, y = 175When x = 24, y = 259

The solution to the equation:

Substitute the respective values of x and y into the equation.

#1

133 = a + 6b

==> a = 133 - 6b

#2

175 = a + 12b

Since we only need the values of two variables we'll use only two equations.

Substituting from #1 for a:

175 = (133 - 6b) + 12b

==> 175 = 133 + 6b

==> 175 - 133 = 6b

==> 42 = 6b

==> b = 7

And b is the amount she pays each week.

So, the answer is 7 units.

A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six
digits. The first digit cannot be 4 and the last digit must be even. How many different codes are available? (Note that 0
is considered an even number.)

Answers

Answer:

450,000

Step-by-step explanation:

The first digit has 9 choices

Digits 2 through 5 each have 10 choices

Digit 6 has 5 choices.

9 * 10 * 10 * 10 * 10 * 5 = 450,000

How do I award brainliest I’m confused
First person to answer and actually help will get it! I have 2 min. Go!

Answers

Answer:

I think its an lucky chance for an mod or something to notice you

Step-by-step explanation:

Usually it will show up on the bottom of the person’s comment who answered. If it doesn’t then you should try to reload the screen.

what is the slope of y−4=−7(x−6)

Answers

Answer:

slope = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

Answer:

M= -7

Step-by-step explanation:

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 4 = - 7(x - 6) ← is in point- slope form

with slope m = - 7

pls branliest

how can i solve it formula y= mx + b

Answers

Answer:

y = 4/3x - 4

Step-by-step explanation:

you are given b

so y = mx -4

you can look at the graph and see the slope from there. like the y-intercept and the x-intercept

(0,-4) and (3,0)

slope formula is y2-y1/x2-x1

and so you do -4-0/0-3

-4/-3.

so your slope formula would be

y = 4/3x - 4

PLEASE HELP DUE TODAY PLEASE HELP DO THE WHOLE PAGE PLEASE SHOW YOUR WORK PLEASE ​

Answers

Ok brother tell me what is your problem

Answer:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Step-by-step explanation:

1. Circle A: 1 right angle

Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length

2. 2 pairs of parallel sides

2 pairs of sides with equal length

3. 2 sides of equal length

Drag each number to show whether it is a prime number or a composite number.


Three of the numbers are prime, and three are composite.


Prime:

Composite:

26,3,33,85,61,41

pls help me

Answers

PRIMES: 3, 61, 41

COMPOSITES: 26,33,85

In right triangle ABC, C is the right angle. What does sinB equal? options: sinB, cosB, cosA, not enough information

Answers

Answer:

Answer: cos(A)

Step-by-step explanation:

» From trigonometry,

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]

[tex]{ \tt{ \red{ \sin(B) = \frac{AC}{AB} }}} \\ [/tex]

» For cosine:

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \red{ \tt{ \cos(A) = \frac{AC}{AB} }}}[/tex]

» Therefore, sinB = cosA

Answer:

Not enough information

explanation:

Taking sin here:

∠A + ∠B + ∠C = 180°

∠A + ∠B + 90 = 180°

∠A + ∠B = 90°

sin(A) + sin(B) = sin(90)

sin(B) = 1 - sin(A)

Taking cos here:

∠A + ∠B + ∠C = 180°

∠A + ∠B + 90 = 180°

∠A + ∠B = 90°

cos(A) + cos(B) = cos(90)

cos(A) + cos(B) = 0

cos(B) = -cos(A)

How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimeter is 185 centimeters? l=25cm h=12cm

Answers

Answer:

Width= 30

Length= 62.5

Step-by-step explanation:

First we simplify the length to width ratio

25/12=

2 1/12 ratio of length to width

width=x

length=2 1/12x

Make the equation for this ratio's perimeter being equal to 185

2(2 1/12x) + 2(x)=185

Solve for x

4 1/6x +2x=185

6 1/6x=185

x=30

Substitute the answer in for x to find the length and width

Width= 30

Length= 2 1/12(30)

Length= 62.5

sam knows that 1 inch is about 2.54 centimeters. about how many centimers is 3 inches

Answers

3 inches is about 7.62cm

Please help me!
its my last question.

Answers

3/2 ( 4x - 8) +3x = 6x - 12 +3x

= 9x - 12

Can someone please help me? I will mark as brainliest. Thank you!!

Answers

Answer:

a = 6.5 mperimeter = 52 m

Step-by-step explanation:

The shape is a trapezoid on top of a parallelogram. The areas of each of the figures can be found separately, then added together.

Trapezoid area

The area formula is ...

  A = 1/2(b1 +b2)h . . . . where b1, b2 are the base lengths and h is the height

  A = 1/2(12 +a)(7) = 3.5(12 +a) = 42 +3.5a

__

Parallelogram area

The area formula is ...

  A = bh

  A = (12)(9) = 108

__

The area of the figure is then ...

  total area = trapezoid area + parallelogram area

  172.75 = 42 +3.5a + 108

  22.75 = 3.5a . . . . . . . . . . . . subtract 150

  6.5 = a . . . . . . . . . . divide by 3.5

The length 'a' is 6.5 meters.

__

Perimeter

The perimeter is the sum of the side lengths. Opposite sides of the parallelogram are the same length. Clockwise from the bottom left, the sum of side lengths is ...

  P = 9.2 +7.8 +6.5 +7.3 +9.2 +12 . . . meters

  P = 52 . . . meters

The perimeter is 52 meters.

Please help FAST!!!!!

Answers

Answer:

Step-by-step explanation:

Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.

Change the equation 8x + 4y = 24 into slope-intercept form

Answers

Answer:

y= -2x+6

Step-by-step explanation:

8x+4y=24     move the 8x to the other side

4y=-8x+24    divide by 4

y=-2x+6

Solve the inequality.​ Then, graph the solution 15x ≥ −60

Answers

Answer:

A closed circle on -4, going to the right.

Step-by-step explanation:

15x ≥ −60

/15     /15

x ≥ -4

This is a closed circle on -4, going to the right.

Hope that helps!

What is the quotient of 840 divided by 70 with a remainder?

Answers

Answer:

the quotient is 12 and there is no remainder

Step-by-step explanation:

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