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3 years ago

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the trigonometric identities

tan(90 - x) = cotx , cotx = $\frac{1}{tanx}$

Given

tan1tan2tan3....................... tan87tan88tan89

= tan1tan2tan3............... tan(90-3)tan(90-2)(tan90 - 1)

= tan1tan2tan3.............. cot3cot2cot1

= tan1cot1tan2cot2tan3cot3 ........................

= 1 × 1 × 1 ×....................... × 1

= 1

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.

Mashutka [201]

Answer:

Part 1) $10\ months$

Part 2) $\$25,000$

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

<em>Herman</em>

The slope is equal to $m=\$1,000\ per\ month$

The y-intercept is $b=\$15,000$

substitute

$y=1,000x+15,000$ ----> equation A

<em>Jackie</em>

The slope is equal to $m=\$1,300\ per\ month$

The y-intercept is $b=\$12,000$

substitute

$y=1,300x+12,000$ ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

$1,300x+12,000=1,000x+15,000$

solve for x

$1,300x-1,000x=15,000-12,000$

$300x=3,000$

$x=10\ months$

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

$y=1,000(10)+15,000=\$25,000$

equation B

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3 years ago

Adina read 60 out of 100 pages in a comic book.Write the fraction of the pages she read in simplest form

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Answer:

3/5 is 60/100 in it's simplest form.

Step-by-step explanation:

60 divided by 20 is 3 and 100 divided by 20 is 5.

So 3/5

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3 years ago

charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to

Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

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3 years ago

What is the area of the figure

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The entire picture is needed to solve. the bottom of the pic is cut off

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3 years ago

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is​

6. The value of (tan 1° tan2º tan 3º ... tan 89°) is