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kirza4 [7]
3 years ago
7

Simplify (sin Θ − cos Θ)2 + (sin Θ + cos Θ)2

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Answer:

Answer in simplified form is:

(sinФ - cosФ)² + (sinФ + cosФ)² = 2

Step-by-step explanation:

Given,

(sinФ - cosФ)² + (sinФ + cosФ)²

This can be simplified as:

(sin²Ф + cos²Ф - 2sinФcosФ) + (sin²Ф + cos²Ф +2sinФcosФ)

We know that : sin²Ф + cos²Ф = 1

So,

( 1 - 2sinФcosФ) + (1 + 2sinФcosФ)

or 1 + 1 -2sinФcosФ + 2sinФcosФ

or 2

Hence we got  (sinФ - cosФ)² + (sinФ + cosФ)² = 2

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What is the answer to this priblem-13+-11=
tia_tia [17]
Basically adding a negative means subtracting and vice versa so
-13+-11=-13-11=-24
4 0
3 years ago
A mountain climber started at sea level and descended down a cliff. Her location can be represented by -75 feet. How many feet d
mariarad [96]

The mountain climber has travelled 75 feet below sea level while descending down a cliff.

Given:

  • A mountain climber at sea level starts descending down a cliff.
  • Her location can be represented by -75 ft.

To find:

The distance travelled by a mountain climber.

Solution

  • Distance ascending above sea level is taken in a positive direction.
  • Distance descending down sea level is taken in a negative direction.
  • This negative and positive only represents the direction

The location of mountain climber after descending from cliff  = -75 ft

The distance covered by the mountain climber = 75 ft

The mountain climber has travelled 75 feet below sea level while descending down a cliff.

Learn more about descending and ascending here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/108740?referrer=searchResults

8 0
3 years ago
An item cost $4 before tax and $4.32 after sales tax. What is the sales tax rate?
erma4kov [3.2K]

The sales tax rate of an item that costs $4 is 8%

<h2>Explanation:</h2>
  • An item costs $4 before tax
  • The same item costs $4.32 after sales tax.

So the tax rate can be calculated as:

Tax rate = $4.32 - $4 = $0.32

Next, you must divide the tax rate by the original price in order to get the sales tax rate:

Sales tax rate = $0.32/4$ = 0.08

In percentage:

Sales tax rate % = 0.08x100% = 8%

<h2>Lear more:</h2>

Sales tax rate: brainly.com/question/840427

#LearnWithBrainly

3 0
4 years ago
ILL MARK BRAINLIEST
ollegr [7]

Answer:

y= kx

when y = 4

x = -2

4= -2k

divide both sides by -2

k = -2

when y = 10

10 = x(-2)

10= -2x

divide both sides by -2

x = -5

8 0
3 years ago
A recipe calls for 2/3 cup white sugar for every 3/4 cup brown sugar if i want to use 1 cup of white sugar how much brown sugar
Tanzania [10]

Answer:

1 1/8 cups of brown sugar!

Explanation:

If the recipe calls for 2/3 white sugar for every 2/4 brown sugar, then we need to find the ratio really!

So do

3/4/2/3

( three fourths OVER two thirds ) 3/4 is the numerator and 2/3 is the denominator.

You get x=1*c

Finally do

3/4*3/2=x=9/8

Simplify 9/8 to 1 1/8.

Since you will need 1 1/8 cups of brown sugar for cup of brown sugar, you need 1 1/8 cups of brown sugar.

Answer: You will need 1/18

Would love brainliest! Thanks and have a good day!

LMK if you need help understanding it!

3 0
3 years ago
Read 2 more answers
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