(cosx-sinx)^2 = 1-2sinx cosx

Answers

Answer 1
Answer: cos^2x - 2cosxcosx + sin^2x = 1 - 2sin x cosx 

So cos^2x + sin^2x = 1 

Related Questions

Solve for x: |2x + 12| = 18
Y=2/3x+5 in standard form
A shoe salesman earns a commission of 20% of all shoe sales made. Yesterday he sold 2 pairs of shoes for $80 each and 3 pairs of shoes for $70 each. How much did he earn in commission yesterday?
A shop is giving 20% discount in a sale. A shirt in the shop normally costs $60. How much does it cost in the sale?
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE. Determine m∠ABQ and determine m∠BCR.

In a survey of 150 students, 90 students were taking algebra and 30 were taking biology. What is the least number of students who could have been taking both courses? What is the greatest number of students who could be taking both courses? What is the greatest number of students who could have been taking neither course?

Answers

The least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

What is subtraction?

The process of subtracting one number from another is known as subtraction.

Given that, there are a total of 150 students out of which 90 were taking algebra and 30 were taking biology.

The remaining students are:
150 - 90 - 30

= 30

Now, the remaining 30 students may take both subjects or neither.

Therefore, the least number of students who could have been taking both courses is 0.

The greatestnumber of students who could be taking both courses is 30.

The greatestnumber of students who could have been taking neither course is 30.

To learn more about subtraction, click here:

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30 students could of been taking both courses and 60 with no course

Solve for x: 2/5 (x - 2) = 4x.

A. 2/9
B. 9
C. -2/9
D. -9/2

Answers

Step 1: Simplify both sides of the equation.
2/5(x-2)4x

Simplify: (show steps)
2/5x+-4/5=4x

Step 2: Subtract 4x form both sides.
2/5x+-4/5-4x=4x-4x

Step 3: Add 4/5 to both sides.
-18/5x+-4/5+4/5=0+4/5

Step 4: Multiply both sides by 5/-(18).

(5/-18)*(-18/5)*=(5/-18)*(4/5)



Then your answer would be      -2

                                              x=  -----
                                                      9
(2/5)(x-2)=4x
multily both sides by 5/2 (2/5 times 5/2=10/10=1)
1(x-2)=20x/2
x-2=10x
minus x both sides
-2=9x
divide 9
-2/9=x

given the equation of a circle x^2+y^2-10x+4y+13=0. find its center and radius. i am having trouble please help

Answers

x^2+y^2-10x+4y+13=0\n x^2-10x+25+y^2+4y+4-16=0\n (x-5)^2+(y+2)^2=16\n\n \hbox{center}=(5,-2)\n r=4

Simplify the rational expression
-12x^3/x^3-5x^4

Answers

Simplifying the rational expression "-12x^3/x^3-5x^4" involves cancelling out the terms or variables that are common or present in each term. For this example, the common term is "x^3". So for the first step, bring out all of the x^3 terms. This gives:

-->   -12x^3/x^3(1-5x)

Since this is a fraction, the x^3 can be cancelled out from the numerator and denominator.

final answer --> -12/(1-5x)

Ahmad has $x. Abu has $5 more than Ahmad. Razak has twice as much as Abu. Together they have $175. What is the value of x?

Answers

Abu X + 5

Razak 2x + 10

Ahmad X

Together 4x + 15

175 - 15 = 160

160 / 4 = 40

X = 40

Answer:$40

Step-by-step explanation:

Solve the equation for x
3/10x-1/5=1

Answers

Answer:

x=4

Step-by-step explanation:

(3)/(10)x-(1)/(5)=1\n \n(3)/(10)x=(6)/(5)  \n3x=12\nx=4