help! Scroll to see image!

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = a²+2ab+b²]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

Similar Questions

If cosθ =1/3 , then sinθ = _____.

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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...

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BrainlyCPT~

Brainly Team

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

Answer:

M=4 if not 1/4

Step-by-step explanation:

hope this helps sorry if it was incorrect have a great rest of the day :)❤

Answer:

No, only for right angle Δ

Step-by-step explanation:

It is only used for right angle triangles

Answer:

x=-2

Step-by-step explanation:

6(x+1)=-2(3x+9)

Distribute the 6.

6x+6=-2(3x+9)

Distribute the -2.

6x+6=-6x-18

Move the variable to the left-hand side and change the sign.

6x+6+6x=-18

Collect like terms

12x=-18-6

Calculate the difference.

12x=-24

Divide both sides by 12.

x=-2

Hope this helps :)

Answer:550

Step-by-step explanation:

Answer:

550

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Answer:

x = √11

Step-by-step explanation:

(x + 3)(x - 3) = 2

=> x² - 3x + 3x - 9 = 2

=> x² - 9 = 2

=> x² = 11

=> x = √11

Hoped this helped.

Answer:

83.333 degress

Also where i solved for side a is pointless i just realised :p

Step-by-step explanation:

okay Imma head into some trig stuff here so sorry.

the hypotenuse of the triangle would be 60m

the height is 50m

Using pythag theorem we can concur that a = 10.488

a = 10.488

b= 50m

c = 60m

now we just use sin (feta) = 50/60

sin(feta) = .8333

or 83.3 degress.

-Gage Millar, Algebra 1/2 tutor

Answer:

b= 20.8

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

a= 12

b= ?

c= 24

Equation: 12²+b²=24²

12²= 144

24²= 576

New equation: 144+b²=576

Find b: 576-144=432

[tex]\sqrt432[/tex]= 20.7846097

Round to nearest tenths: 20.8

b= 20.8

Check answer:

144+432=576

Correct!

Answer:

7:5

Step-by-step explanation:

Ratio between red and green marbles is simply the number of red marbles to the number of green marbles.

---------------------

35:25

To simplify it, you divide both of them by 5 (which is the highest common factor) to get

--------------------

7:5

Answer 1.085

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d

sd

a

ds

d

The bus pass cost per day will be $1.05 per day.

The rate is the ratio of the amount of something to a certain unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Parenthesis, Exponent, Multiplier, Division, Adding, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.

Joyce buys a bus pass for the month of March for $32.55.

In March month, there are 31 days. Then the bus pass cost per day is given by dividing the cost of $32.55 by 31.

⇒ $32.55 / 31

⇒ $1.05 per day

The bus pass cost per day will be $1.05 per day.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Answer:

4

Step-by-step explanation:

Answer:

La respuesta seria 3 espero que esto ayude

Step-by-step explanation:

[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]

ok done. Thank to me :>

Answer:

Oranges :100 pound

Apples : 250 pound

Step-by-step explanation:

A fruit market must spend less than $225 for an order of peaches and mangoes. A pound of peaches costs $0.50 and a pound of mangoes costs $0.75. This relationship is shown in the graph. The market needs at least 50 more pounds of peaches than mangoes. Which choice is a reasonable solution?

=========

0.5p + 0.75m <= 225

p = m + 50

-------------------

Substitute for "p" and solve for "m"::

0.5(m+50) + 0.75m <= 255

0.5m + 25 + 0.75m <= 255

2.25m <= 325

---

m <= 144.44

--------------------

# of oranges : 100 pound

# of pound of apples: m+50 = 250 pound

Hope you understand :)

Pls mark me as brainiest

Answer:

Answer choice C should be more Resonable.

Step-by-step explanation: It is very obvious

because you are spending less than $225 and when it says at least 50 more it means that 50 is the bare minimum so the ideal choice is 150 more apples than oranges and likely the oranges will be 100 and aples will be 250 and you won't spend over $225.  

Answer:

y = -x

Step-by-step explanation:

Answers 1 and 4 have an offset (+2 and -1) that interferes.  x = 2 is not a proportion.  It is simply a statement that x = 2.  It is not allowed in the high stakes room.

Answer:

What do you mean, I'll help.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Given the base and height, we can split the triangle into 2.

So now the height for our right triangle with still be 25 but the base will become half of what it used to be which is 12.

Using the Pythagorean Theorem:

A^2+B^2=H^2                

a = side of right triangle

b = side of right triangle

c = hypotenuse

Plugin the values

25^2+12^2=H^2

625+144=H^2

769=H^2

27.73=H

Rounded to 28

Hope this helps :)

Half time of krypton 91 = 10s

this means, it reduces to half of the remaining in every 10s

So, In 10 sec , the mass remaining will be :

3/2 = 1.5

After 20 sec, the mass remaining will be :

0.75 g

After 30 sec, the mass remaining will be :

0.375

After 40 sec, the mass remaining will be :

0.1875 g

After 50 sec, the mass remaining will be :

0.09375 g

After 1 minute, the mass remaining will be:

0.046975 g

Answer:=> 10 months

Given :

Step-by-step explanation:

Given :

1 / 4 inches = 1 month

Find :

5 / 8 inches = ? months

According to the question :

1 month = 1 / 4 inches

5 / 8 inches = ' x ' months

=> ( 5 / 8 ) / ( 1 / 4 ) = x

=> ( 5 / 8 ) × ( 4 / 1 ) = x

=> ( 5 × 2 ) / 1 = x

=> 10 / 1 = x

=> x = 10.

So, it takes 10 months.

Answer:

it would be 5 months for his hair to grow 5 inches.

Step-by-step explanation:

well, if his hair grows 1 inch per month, and it take 5 months for his hair to grow.

so multiple 1 times 5 and you get you answer

Answer:

One pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel.

Answer:

(2;5)

Step-by-step explanation:

Elimination:

Let's first multiply the first by 2 to clear fractions and write them both in standard form:

[tex]\left\{ {x-2y=-8} \atop {2x+y=9}} \right. \\[/tex]

Eliminate x: Multiply the first by 2, then subtract the equations:

[tex]2I-II: 2x-4y-2x-y=-16-9\\-5y=-25 \rightarrow y= 5[/tex]

Eliminate y: Multiply the second by 2, then add equations:

[tex]I+2II: x-2y +4x+2y = -8+18\\5x=10 \rightarrow x=2[/tex]

Subtsitution

Solve the first for y (oh, what a coincidence, it's done already!) and replace the value in the second.

[tex]\frac12x +4 = -2x+9 \rightarrow \ x+8=-4x+18\\x+4x = 18-8 \rightarrow 5x=10 \rightarrow x=2[/tex]

Then let's plug this value into a convenient one - let's say, the first - and find y from there:

[tex]y=\frac12\cdot 2 +4\rightarrow y =1+4 \rightarrow y=5[/tex]

If anyone tries saying it's not substitution, bring the system in standard form, as you did for the elimination method, then solve again for y.

Answer:

5x - y = 3

Step-by-step explanation:

Standard form of a linear equation is expressed as Ax + By = C

In order to express the given equation in this form, we need to isolate the constant.  We can achieve this by subtracting 5x from both sides:

y = 5x - 3

y - 5x = -3

If possible, we want A to be positive, so we can multiply both sides by -1:

-1(y - 5x) = -1(-3)

-y + 5x = 3 or 5x - y = 3

sin(x) = 1/2 and the angles must be between 0 and 180.

We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.

There are two angles for which the y value on the unit circle outputs 1/2.

To find this other value which is in the second quadrant: 180 - 30 = 150.

The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.

Smaller =  30   Larger = 150.

P.S make sure your calculator is in degree mode.

Answer:

I think it is 3 feet

Step-by-step explanation:

12:9 is equal to 4:3

4:? should also be equal to 4:3, so ?=3

Hope this helps

let me know if it does and if it is right

Answer: (0.03)(-0.02) = -0.0006

Step-by-step explanation:

Step 1: Remove the Parenthesis

(0.03)(-0.02) → 0.03 ⋅ 0.02

Step 2: Multiply

0.03 ⋅ 0.02 = -0.0006

,  Hope this helps :)

Have a great day!!

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.