Prove tanAsinA + cosA = sec A

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tanx = [tex]\frac{sinx}{cosx}[/tex] , sin²x + cos²x = 1, secx = [tex]\frac{1}{cosx}[/tex]

Consider left side

tanAsinA + cosA

= [tex]\frac{sinA}{cosA}[/tex] × sinA + cosA

= [tex]\frac{sin^2A}{cosA}[/tex] + cosA

[tex]\frac{sin^2A+cos^2A}{cosA}[/tex]

= [tex]\frac{1}{cosA}[/tex]

= secA = right side , thus proven


Related Questions

what value of x makes this equation true:
8x + 7 = 79

Answers

Answer:

x equals to 9

9

x is 9

x is 9

The sum of four consecutive odd numbers is 72 find the numbers​

Answers

Answer:

15, 17, 19 and 21 it mst b them

2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?

Answers

Answer:

Square 18.

Step-by-step explanation:

First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.

Hope this helps!

What is 8.170 in word form

Answers

Answer:

eight and seventeen hundredths

Step-by-step explanation:

Answer:

eight and seventeen hundredths

Find the percent increase. Round to the nearest percent.
From 15 friends to 16 friends

Answers

Answer:

107%

Step-by-step explanation:

15-100%

16-x%

x%=16*100/15=106.6%~107%

Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.​

Answers

Answer:

the x is -8,0 and the y is 0,2

hope this helps!

Could someone please answer this question!!?

Answers

The answer is 14
..........

n-6=2n-n
Please help

Answers

Answer:

n=−6

Step-by-step explanation:

make since

Help pls
10 - 3x = 22

Answers

Answer:

its 7

Step-by-step explanation:

x=-4 because you subtract the 10 from 22 then divide -3 from 12

Pls easy geometry !! Help asp for Brainly, pls !!

Answers

Given,BC=AB
CO=DO
Now,BC-CO=AD-DO
OB=OA
In triangle BOD and AOC
OB=OA(s)
Angle DOB=angle AOC(A)(vertically opposite angle)
DO=CO(s)
Therefore triangle BOD is congruent to triangle AOC
Hence,DB=CA

.
Simplify by using the Distributive Property
4(4f-2g)

Answers

Answer:

the answer is 16f-8g

Answer:

16f - 8g

Step-by-step explanation:

You would multiply the terms in the middle by 4 so 4f*4 would be 16f since 4*4 is 16 and then 4*2g would be 8g since 4*2 is 8

f(x) = 3x + 2
g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7

Find f[g(5)]

A. 92
B. 2
C. 30
D. 242

Answers

Answer:

A

Step-by-step explanation:

Evaluate g(5), then use the value obtained to evaluate f(x) , that is

g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then

f(30) = 3(30) + 2 = 90 + 2 = 92

The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed
through a busy intersection.
4.
8 12 16 20 24 28 32 36 40 44 48

Answers

Answer:

Median is 28

Step-by-step explanation:

Median is 28 smallest value is 8

plzzz help with this on gusssssssyyss

Answers

The answer would be A=3

Answer: a=3

Step-by-step explanation: add 63 to both sides. Then divide both sides by 9 to get a=3.

What is the solution to 8x - 3(2x - 4) = 3(x - 6)?

Answers

Answer:

x = 30

I hope this helps!

X= 30 if you ever need a better understanding just make sure you ask your teachers for help

is 14.875 rational or irrational

Answers

Answer:

not rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

119/8 is it in fractional form.

Which of the following numbers can be expressed as repeating decimals? (5 points) 3 over 7 , 2 over 5 , 3 over 4 , 2 over 9

Answers

2 over 9 can be expressed as a repeating decimal

Answer:

3/7 and 2/9 are repeating decimals.

Step-by-step explanation:

What is the value of x in the equation 2 x + 4 =-8? 3​

Answers

the answer equals x=4

Carrie and nine of her friends go out to dinner. The total bill comes to $200. They decide to leave a 15% tip. Each person will contribute an equal amount to the total tip. What each person should contribute

Answers

Answer:

$3

Step-by-step explanation:

To find the value of the tip, multiply 200 by 15%.

200 x 15% = 30

Divide the tip by the number of people at the dinner (Carrie plus 9 friends = 10 people)

30 / 10 = 3

Each person should contribute $3 toward the tip.

Each person will contribute $23.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Bill= $200

Tip= 15%

So, the amount of bill be paid after tip

= 200+ 200 x 15%

= 200+ 200 x 15/100

= 230

Now, each of them have to pay

= 230/ 10

= $23

Hence, Each of them paid $23.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ3

What would be the domain for {(-6, 4), (5, -1), (0, 3), (-2, 4)}

Answers

Answer:

-6, 5, 0, and -2

Step-by-step explanation:

The domain values are the x-values in a coordinate pair. Therefore, the domains would be -6, 5, 0, and -2.

I hope this helped you!

hurry im taking an math summative

Answers

Answer:180 minus 79 is 101

Step-by-step explanation:

Which property of addition is shown?

3 +41 + 5 + 6 = 3 + 5+ 41 + 61

Identity property
Associative property
Commutative property
Inverse property

Answers

Answer:

ASSOCIATIVE PROPERY

Step-by-step explanation:

The average winter temperature at the South Pole is -49 degrees Celsius. The coldest temperature recorded in Antarctica was 40.6 degrees Celsius colder than the average winter temperature at the South Pole. What was the coldest recorded temperature in Antarctica?

Answers

Answer:

The coldest temperature at Antarctica is -89.6 degrees celsius

Step-by-step explanation:

Here, we are interested in calculating the coldest temperature in Antarctica.

In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.

The average winter temperature at south pole = -49 degree celsius

The coldest temperature is thus -49-40.6 = -89.6 degrees celsius

Answer:

95

Step-by-step explanation:

Simplify
(5x−2+3x2)+(4x+3)
Step by step please

Answers

Multiply 3x2 and you get..

(5x - 2 + 6) + (4x + 3) calculate the sum (-2 + 6) and you get..

(5x + 4) + 4x + 3 remove parentheses..

5x + 4 + 4x + 3 collect like terms..( 5x + 4x) and you get..

9x + 4 + 3

Final answer is..

9x + 7

For (5x−2+3x^2)+(4x+3)  the answer is below

A grocery store sells 6 ears of corn for $3.54. Which of the fllowing shows how to find the amount of money that each ear of corn costs at the grocery store?

a
$3.54 x 6
b
6 ÷ $3.54
c
6 - $3.54
d
$3.54 ÷ 6

Answers

Answer: B: 6÷3.54

Step-by-step explanation: Since they sold 6 ears and made $3.54 total, you would have to divide 6 by $3.54 to determine the cost of each ear.

state whether the linear equation has one (unique),infinely many,or no solutions

12(x+8)=11x-5


PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!

Answers

Answer:

One solution

Step-by-step explanation:

12x+96=11x-5

12x-11x= -5-96

x= -101

x only equals one solution, which is -101.

WILL MARK BRAINLIEST!!!! Can someone help me wit des two questions?
--------------------------------------------------------------------------------------------------------------
1.) Given the equation y - 8 = -5(x - 7) What is the slope?

a.) 8
b.) -5
c.) 7
d.) Not enough information
---------------------------------------------------------------------------------------------------
2.) Given the equation y - 8 = -5(x - 7) What is a point on the line?

a.) (8, -5)
b.) (7, 8)
c.) (-5, 0)
d.) Not enough information

Answers

NUMBER 1: -5

NUMBER 2:

-5,0 I think the first one is right tho

Hey several brings five breadsticks to the table to people they share them equally how many do they get

Answers

Huh dude what huh are u kidding
If your gonn ask questions like that please don’t come one this app, there’s other students that need this app for their work :)

Help me pls I am confused for al parts of this pls help.

Answers

Answer:

i think it's 5/4

Step-by-step explanation:

2. What are the angle measures of the triangle?

Answers

Answer:

Answer A is the correct option.

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