prove
tantheta cottheta= Sec theta csc theta​

Answers

Answer 1

Answer:

Step-by-step explanation:

LHS

tan θ * cot θ

= sin θ / cos θ * cos θ / sinθ

= 1

RHS

sec θ * cos θ

= 1/cos θ * cos θ

= 1

Therefore LHS = RHS proved.


Related Questions

A person lost in an office building travels up 3 floors in an
elevator, then down 1 floor, then up 5 more floors, then
down another 4 floors. What number sentence would
represent this situation?

Answers

Answer:

B. +3 - 1 + 5 - 4

Step-by-step explanation:

The plus means going up and the negative means you are going down.

You are going up 3 floors (+3)

You are going down 1 floor ( -1)

You are going up 5 floors (+5)

You are going down 4 floors (-4)

Let me know if this helps!

the expression cos x (cos x - tanx sin x) simplifies to...

Answers

Answer:

cos(2x)

Step-by-step explanation:

The simplified expression is

How to evaluate trigonometric expression?

A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.

Given expression:

cos(x){cos(x)-tan(x)sin(x)}

Evaluation:

[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]

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

[tex]cos^{2}x-sin^{2}x[/tex]

[tex]cos2x[/tex]

Therefore, the given expression simplifies to cos2x.

To know more about trigonometric expressions refer:https://brainly.com/question/12542599

#SPJ2

53% of what number is 384?
i got 724.52 how do i round it to the hundredths place?

Answers

Answer:

thats right.

Step-by-step explanation:

the first place after the decimal is tenths, second, hundredths, third thousands, and so on

Can anyone help me?

Answers

Answer:

Step-by-step explanation:

y= -833.3+42,000

29,500

Write 2/8 in simplified form

Answers

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

solve for x
[tex]\frac{1}{x-9}[/tex] =6

Answers

r = 1/15

a branliest from the answer will be appreciated

Step-by-step explanation:

1/x-9= 6

cross multiply

1= 6×{x-9}

1= 6x - 54

collect like terms

1+54= 6x

55= 6x

x= 55/6 or 9.1667

chris is 4 1/4 feet tall his mom is 1 1/2 times as tall as chris how tall is chris's mom

Answers

Answer:

6 feet 3 inches

Answer:

6.375 ft tall

Step-by-step explanation:4 1/4x1 1/2=6.375

perform the indicated operation

1.(3x+8)+4x-3)
2.(7x-8)-(2x+4)
3.(5x2-8x+6)-(3x2-3x+2)

Answers

Answer:

1. 7x+5 2.5x-12. 3.2x^2+5x+4

Step-by-step explanation:

if you look up mathaway and put the equations in. it will tell you all the steps. hope this helps.

Answer:

hmmmmmmm

Step-by-step explanation:

o9ooooooooooooooo

Help HELP HELP HELP PLS!!!

Answers

Answer:

x = 40

Step-by-step explanation:

40° and (3x + 20)° form a straight line, and a straight line equals to 180°

=> 40 + (3x + 20) = 180

=> 3x = 120

=> x = 40

Is B x=40

I hope it’s that

The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?


A. 5 + 3


B. 5 + -3


C. 5 - -3


D. -5 - -3

Answers

Answer:

C

Step-by-step explanation:

can someone actually help me please? i don’t get this and could you explain it ? thank you

Answers

Answer:

y = -1

Step-by-step explanation:

1) first, you would have to substitute x, the input, with 30, y = 14-0.5(30)

2) then, you would multiply 0.5 and 30 together which gets y=14-15

3) lastly, 14-15 equals -1 so y = -1

Answer:

Answer is -1

Step-by-step explanation:

First we know that x = 30, and in 0.5x we can plug in 30 because x = 30. So the equation is 14 - 0.5(30), now multiply 0.5 * 30 which will give you 15. Now the new equation is y = 14 - 15, 14 - 15 will give you -1. And that is y, Y = -1

How do you find the height of a cone without given volume? Radius is 9

Answers

Square the radius then divide the radius squared to three times the volume
Ex the radius is 2 the square is 2 4 , and 300 divided by 4 75 for height

PLEASE HELP ME ANSWER THIS!!

Answers

Answer:

i think its X=108

Step-by-step explanation:

Answer:

x=118°

Step-by-step explanation:

a straight line is 180°

therefore 180-62=x

How many meters are equal to 4,581 centimeters? Use how the placement of the decimal point changes when dividing by a power of 10 to help you.

Answers

Answer:

Step-by-step explanation:

How many meters are equal to 4,581 centimeters?

100cm = 1m

4581 cm = x

Use how the placement of the decimal point changes when dividing by a power of 10 to help you

Find the area of each composite figure.
Round to the nearest TENTH if necessary.

Answers

Answer:

Step-by-step explanation:

This is due at 11:59 tonight please help meh and explain your reasoning ( •᷄ - •᷅ )​

Answers

Answer:

44.375sq.cm

Step-by-step explanation:

The Area of the figure = Area of the square - Area of the quadrant

Area of the square = 8 * 8 = 64sq. cm

Area of the quadrant = πr²/4 = 3.14(5)²/4

Area of the quadrant = 19.625sq.cm

Area of the figure = 64 - 19.625

Area of the figure  = 44.375sq.cm

what is the problem??​

Answers

Answer:

there is none

Step-by-step explanation:

One of the legs of a right triangle measures 2 cm and its hypotenuse measures 19 cm.
Find the measure of the other leg, If necessary, round to the nearest tenth.

Answers

Answer:

18.9

Step-by-step explanation:

361-4 = 357

the root of 357 is 18.9 when rounded

Can someone help me please

Answers

Answer:

That would seem like a b

Step by step explanation: (>) means greater than and b is stating that element a is higher than element c

please help no links​

Answers

Answer:

It's the last answer

Step-by-step explanation:

173.59x10 3 . Please help me get this i have been working on it for 2 hrs

Answers

1,735.9..................................

What is the area of the rectangle

Answers

the area of rectangle is l*b

Answer:

24 Centimeters

Step-by-step explanation:

L * W

4 * 6

24 Centimeters

PLEASE HELP GIVING BRAINLEST

Answers

Answer:

Step-by-step explanation:

1. 34

2.12

3. 45

HELP!

The length of a rectangle is 6 cm longer than its width.

The area of the rectangle is 135 cm².

What is the width of the rectangle?

Enter your answer in the box.

Answers

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

Fuel for an outboard motor has a gas to oil ratio of 50:1. How much oil is needed for 25.5L of gas?

Answers

Answer:

The oil needed is 0.51.

Step-by-step explanation:

Since you know that the gas to oil ratio is 50:1 and you have to find the oil needed for 25.5L of gas, you can write the numbers in the ratio as a fraction and let's consider that x is the amount of oil needed:

[tex]\frac{50}{1} = \frac{25.5}{x}[/tex]

Now, you have to solve this using cross multiplication:

50*x=25.5*1

50x=25.5

Finally, your have to isolate the variable x:

x=25.5/50

x=0.51

According to this, the answer is that the oil needed is 0.51.

A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

Answers

Answer:

$0.21

Step-by-step explanation:

So, first let's find the cost of a single cup.

16/13.60 = 1/0.85

Now, we know that each cup is approximately $0.85. Next, we must convert cups into quarts. 1 cup = 0.25 quarts.

1/0.85 = 0.25/0.21

Find the remainder when p6–p4–p2–1is divided by p -1
pls fast

Answers

remainder is negative 2

What would be the perimeter??

Answers

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

pleasee help, thank you so much

Answers

Answer:

-2

Step-by-step explanation:

Use the slope formula when given two points

Slope formula = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

( the x and y values are determined by the given points )

Given the points ( 0 , 5 ) and ( 1 , 3 )

Plug in the x and y values of the given points into the formula

( remember y values on top x values on bottom )

[tex]slope=\frac{5-3}{0-1} \\5-3=2\\0-1=-1\\slope=\frac{2}{-1} =-2[/tex]

Hence, the answer is D

solve for the x value of the x intercept of the line 5x-y=-5

Answers

x intercept: (1,0)
y intercept: (0,-5)
hope this helped
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