Mathematics High School

tan 235° = 2tan20°+ tan215°​

Answers

Answer 1

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

Related Questions

Which expressions are equal to 4y + 8 + 4y + 8?

Answers

Answer:

8y + 16

Step-by-step explanation:

Put the like variables together

2.248 divided by 5.62

Answers

Answer:

0.4

Step-by-step explanation:

Answer:

44.128114

Step-by-step explanation:

HEY GUYS WHAT IS THE PRODUCT!??

Answers

Answer:

The answer would be B

Step-by-step explanation:

Multiply the 3 and 2, Then add the numbers. If im wrong sorry

Enter the value of x
​

Answers

x = 4 is the correct answer

An airline company has a number of airplanes, n, that seat 250 customers each. Write an equation to represent, c, the total number of customers that can be seated by all of the airplanes.
if n = 12 use your equation to determine the total.

Answers

Answer:

n×250=c

3000 people

Step-by-step explanation:

Since each airplane seats 250 people and we need to see the total number of people able to be seated, we multiply the amount of airplanes by seats, and get the equation of n×250=c.

And then if we have 12 airplanes, n=12, the equation becomes 12×250=c.

c=3000 people

(hope this helps!)


MATH HELP ASAP! MARKING BRAINLIEST

Answers

((Ignore this)) (NOT y=3x+9)

Answer:

The correct answer is y = 3x + 3.

Step-by-step explanation:

take a look at my work.

sorry if my drawing is a little bit messy lol

On the graph you are rising up 3 units and running to the right 1 unit. According to rise over run, your rise is 3 and your run is 1. If you put that together that makes 3 over 1 or 3/1. Now when you simplify 3/1 you will get 3. You can simplify it by dividing 3/1 on your calculator or mentally which ever one is best for you. :)

8. A rocket can travel at an average rate of 18,000 miles per hour. How far will
rocket travel in 4.5 hours?

Answers

the answer will be
81,000 miles

55 points! Brainlist for first answer!
The wooden crate is 4 meter by 5 meter by 65 meters. Find teh volume of the wooden crate.

Answers

Answer:

Step-by-step explanation:

v-lxbxh

4x5x65

=20x65

=1300m∧3

b) Make b the subject of the formula a = 4 - 3b​

Answers

a=4-3b
subtract 4 from both sides
a-4=-3b
divide by -3 for both sides
(a-4)/-3 = b

Answer:

b) Make b the subject of the formula a = 4 - 3b​

Step-by-step explanation:

I took the quiz

I USED ALL MY POINTS! PLEASE HELP ME ASAP!!!
Mrs. Jackson wants to tile a wall to serve as a splash guard above a basin in the basement. She plans to use equal-sized tiles to cover an area that measures 48 inches by 36 inches. She does not want to cut any of the tiles. What is the least number of tiles she could use?

Answers

Answer:

e

Step-by-step explanation:

50 and 40

Answer:

1728

Step-by-step explanation:

have a good day

2a + 3a + 4a =5a -18

Help?

Answers

Answer:

-9/2

Step-by-step explanation:

Answer: a=-9/2 (Exact Form) a=-4.5 (Decimal form) a=-4 1/2 (mixed Number form)

Step-by-step explanation:

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.

Answers

Answer:

If two triangles are not congruent, then their corresponding angles are not congruent.

Step-by-step explanation:

The inverse is when both the hypothesis and conclusion are negative (if not p, then not q).

Answer:

If two triangles are not congruent, then their corresponding angles are not congruent.

Y + 2 = -3/4 ( x +1 ) in standard form

Answers

Answer:

3x+4y= -11

Step-by-step explanation:

Help me pls thanks so much

Answers

Answer: V = 1,436.03 cubic meters

Step-by-step explanation:

V = (4/3)(3.14)(r^3)

V = (4/3)(3.14)(7^3)

V = (4/3)(3.14)(343)

V = 1,436.03

hope it's helpful ❤❤❤❤❤❤❤

THANK YOU.

Please help don’t know answer

Answers

Answer: Slope: 2/3

y-intercept: 9

Step-by-step explanation:

The slope is equivalent to 2/3 and the y intercept is 9

The indoor climbing gym is a popular field trip destination. This year the senior class at High
School A and the senior class at High School B both planned trips there. The senior class at High
School A rented and filled 8 vans and 10 buses with 704 students. High School B rented and
filled 9 vans and 2 buses with 274 students. Every van had the same number of students in it as
did the buses. Find the number of students in each van a

Answers

Answer:

install socratic it will give you all the answers

Step-by-step explanation:

18 2-2x
How do I solve this!?

Answers

-2x+36 I think I’m not sure though :,))))
use photomath i swear it helps

Find the equation of the line that passes through points A and B.
y.
A (4,7)
B (2,3)

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

Point B has coordinates (-2,-5).After a translation 4 units down,a reflection across the y axis and a translation 6 units up, what are the coordinates of the image?

Answers

Answer:

The answer is (8,-9)

Step-by-step explanation:

The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final answer: (8,-9).

Easy Math! Please give an explanation also if you can :)

Answers

i don't know people are rude lol I tried at least

Answer

15

Step-by-step explanation:

PLEASE PLEASE HOW MANY TIMES CAN I SAY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer like
Answer 1.___________
Answer 2.___________
Answer 3.___________
Answer 4.___________
Answer 5.___________

Answers

Q12 Restaurant and food/beverage

Q13 bachelor in art history

Q15 dance studio

Q14 recreation, amusements, and attractions

Is (-47, -21) a solution to the equation y = x + -26
Yes or No ?

Answers

Answer:

I believe the answer you are looking for is "no"

Adam buys some sweets in a shop. Ben buys 3 more sweets than Adam. Charlies buys 4 times as many sweets as Adam.
Write an expression for the total number of sweets they bought.

Answers

Answer:

x=adams sweets

x+(x+3) + (4x)

Step-by-step explanation:

Let me know if you have any questions

Help me with this math problem if u can.

Answers

Answer:

Step-by-step explanation:

47.86

-25.20

+52.75

-22.04

-8.50

+94.11

=39.46

If 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?

Answers

Answer:

A shipment of 150 bottles will weigh 120 pounds.

Step-by-step explanation:

Given that:

24 bottles of water weigh 30 pounds

Ratio of bottles to weight = 24 : 30

Number of bottles in shipment = 150

Weight of bottles = x

Ratio = x : 150

As the relation is proportional

24 : 30 :: x : 150

Product of mean = Product of extreme

30x = 24 * 150

30x = 3600

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{3600}{30}\\x= 120[/tex]

Hence,

A shipment of 150 bottles will weigh 120 pounds.

How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answers

There are 6.4 Kilometers in 4 miles

I need help! ASAP please!

Answers

Answer:

60 f+80=287

Step-by-step explanation:

Can I have help on this ixl question

Answers

The answer is 1. The answer is 1.

Answer:

Ion know

Step-by-step explanation:

u tell me

i need help understanding it.​

Answers

Answer:

search up the lesson name on yt and then u will know

Step-by-step explanation:

Mr. Wheeler bought 12.42 Gallons of gas this morning.
If he spent 35.89 on gas, how much did the gas cost per
gallon?
How much did the gas cost per pint?

Answers

Answer:

12.42 Gallons = 54.58 L

=> the gas cost per = $35.89/54.58 l = $0.6575/ l

Step-by-step explanation:

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