cosa/(1+sina)+cosa/(1-sina)=2seca
prove this:)​

Answers

Answer 1

Answer:

Please check explanations

Step-by-step explanation:

Using the difference of two squares, the lowest common multiple becomes;

1-sin^2 a

Thus, we have that;

cos a (1-sin a) + cos a (1 + sin a) /1 - sin^2 a

1 - sin^2 a = cos^2 a

That means;

{cos a - cos a sin a + cos a + cos a sin a}/ cos^2 a

= 2cos a / cos^2 a

= 2/cos a

but 1/cos a = sec a

Thus;

2/ cos a = 2 sec a


Related Questions

1.
x + y = 2
x - y = 4
Please help

Answers

Answer:

Step-by-step explanation:

Solve the system of equations by the addition method.

5x + 2y = 1
2x - 2y = -8

Answers

Answer:

(-1, 3)

Step-by-step explanation:

5x + 2y = 1

+

2x - 2y = -8

7x = -7

x= -1

2(-1) - 2y = -8

-2 - 2y = -8

-2y = -6

y = 3

A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item.

Cost of washer:

Cost of dryer:

Answers

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

you put $1,200. in a savings account for four years at 5.6%. what is the total amount in the account after the four years

Answers

Answer:

you would have 1,194.4

Step-by-step explanation:

i subtracted.

Which equation has only 7 as a possible
value of x.
A. x = 343
B. X'= 21
C. x² = 343
D. x² = 21

Answers

Answer:

x³ = 343, if x = 7

Step-by-step explanation:

If x = 7, then:

x² = 49x = 7x³ = 343

HOPE THIS HELPS YOU

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1 thanks to me = 2 thanks

PLEASE HURRY IN A BIG TEST


2y + (4 + Бу)

Answers

Answer: 8y+4

Step-by-step explanation:

2y+4+6y

Combine Like Terms

=2y+4+6y

=(2y+6y)+(4)

=8y+4

Use the expression to find the value of the 20th term.
A. 24
B. 76
C. 80
D. 84

Answers

Answer:

c

Step-by-step explanation:

if its talking about what ones a factor or moltiple of 20 then c if not then i dont know

85 : 45 = 170 : x

Answer to get the answer for x

Answers

x=9/34 that's the answer

Round 6.13 to one decimal place.​

Answers

Answer:

6.1

Step-by-step explanation:

because the 3 is below 5 so it sticks to 1

1/5+2/5+3/5 Its for my I ready because I'm too lazy to pay attention

Answers

Answer:

6/5    1.2    1 1/5

Step-by-step explanation:

1+2+3=6

You do not change the denominator while adding fraction so it remains the same at 5

Triangle C is rotated 180° clockwise with the origin
as the center of rotation to create a new figure.
Which rule describes rotating 180° clockwise?

Answers

Answer:

(x,y)--> (-x,-y)

Convert the temperature from degrees Celsius to degrees Fahrenheit, using the formula below.

F = (
9
5
× C ) + 32


70°C =

Answers

Answer:

158°F

Step-by-step explanation:

A tree cast a 16 foot long shadow on level ground a forestry student uses a clinometer to determine the sun is that a 70° angle of elevation what is the height of the tree to the nearest whole foot

Answers

Answer:

15foot

Step-by-step explanation:

The set up will give a right angled triangle.

The length of the shadow will be the hypotenuse = 16foot

The height of the tree will be the opposite = x

The angle of elevation = 70°

Using the SOH CAH TOA trig identity

Sin theta = opposite/hypotenuse

Sin 70 = x/16

x=16sin70

x = 15.04feet

Hence the height of the tree to the nearest whole foot is 15foot

14a + 8
Factor the Algebraic Expression ​

Answers

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

help me please!!! will give brainliest!!​

Answers

Answer:

what questions you need answers?

Right answer gets brainlist

Answers

Answer:

The volume of the cone = 101 cubic inches.

Step-by-step explanation:

Given

Radius of the cone = r = 4 in

Height h of the cone = h = 6 in

To determine

The volume in cubic inches rounded to the nearest whole number.

Using the formula to determine the volume of the cone

V = πr²h/3

substitute r = 4, h = 6, and π = 3.142 in the formula

V = (3.142) (4)²(6) / 3

V =  (3.142) (4)² (2)

V = (3.142) (16) (2)

V = (3.142) (32)

V = 100.544

V ≈ 101 cubuc inches (rounded to the nearest whole number)

Therefore, the volume of the cone = 101 cubic inches.

What table of values goes with the equation y = |-2x|?

Answers

Answer:

The graph at the bottom

Step-by-step explanation:

All the numbers are gonna come out positive, because of the absolute value bars.

Answer:

i think its the last one i got that answer right

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 2x - 4. The perimeter of the triangle is 47. Find x.

Answers

Answer:

x = 11

Step-by-step explanation:

Remark

There are two legs. They are equal.

Equation

2x - 4 + 2x - 4 +x = 47                   Combine like terms

Solution

5x - 8 = 47

5x - 8+8 = 47 + 8

5x = 55                                           Divide by 5

x = 11

John picks 6 pounds of strawberries. He wants to give 1/3 pound to his friends. How many friends can he give strawberries to?

Answers

Answer:

18 friends

Step-by-step explanation:

Adidea Corp. estimates that $5,670 of its accounts receivables are uncollectible. How will the company record the transaction?

Answers

Answer:

When it is said that accounts receivables are uncollectible, it means that the company does not expect some of its accounts receivables to pay them back for the goods that the accounts receivables purchased on credit.

Uncollectible account receivables therefore reduce the accounts receivables account.

Entry will be:

Date              Accounts Description                                   Debit              Credit

xx-xx-xxxx     Noncollectible accounts expense             $5,670

                      Accounts Receivables                                                      $5,670

The uncollectibles are an expense and expenses are debited when they increase.

The accounts receivables are reducing and assets are credited when they reduce in value so it will be credited.

DATE
PAGE NO
a) In which quadant quadrant does point
(-4,2) lie?

Answers

Answer:

Quadrant 2

Step-by-step explanation:

:)

The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after

Answers

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

help math pls due in 5 min

Answers

The correct answer would be A- as it shows the correct median of 25.5

Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height

Answers

Answer: 4 seconds

Step-by-step explanation:

Given: The function [tex]h(t)=-36t^2+288t+9[/tex] can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

[tex]h'(t)=-36(2)t+288=-72t+288[/tex]

Put h'(t)=0

[tex]\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4[/tex]

Also, [tex]h''(t)=-72<0[/tex]

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds

Please PLEASE HELPPP!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

The cell phone plan for a company D is $10 per month plus $15 per gigabyte for data
used.
The monthly cost of thȚs option can be represented by function D, defined by:
D(x) = 153 + 10, where I is the gigabytes of data used over the monthly allowance.
Find D (2) =?. Please help
Question 2
1 pts

Answers

Answer:

the answer is 599

Step-by-step explanation:

Anyone know the answer ?

Answers

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :

A movie theater decreased the size of its popcorn bags by 20%. If the new bags hold 12 cups of popcorn, how much did the original bags hold? Nasser used the equation 0.20x = 12 Abraham used the equation 0.80x = 12 Kathleen used the equation 1.20x = 12 Decide who used the correct equation and defend your reasoning.

Answers

Answer:

Abraham

Step-by-step explanation:

Abraham used the correct equation because if we represent the original size as 100% and decrease that by 20 it would be 80% or 0.8

Nasser's equation will solve for the change in price

Kathleen's equation solves for if the popcorn size was increased by 20%

Answer:

nasser

Step-by-step explanation:

0.20 = 20/100=20%

Calculate the slope between (-3,1) and (6,13)

Answers

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

the answer is 4/3 so there you go

15)
You are asked to solve -10% +15 < -2x - 9. Which three statements are true?
A)
x > 3
B)
X<2
2 is a solution
D)
-8x < -24
3 is not a solution.

Answers

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

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