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2 years ago

Verify that: cos(x+y)cos(x-y)=cos^2x-sin^2y

1 answer:

4 0

COS(X+Y)COS(X-Y)
=(COSX*COSY-SINX*SINY)(COSX*COSY+SINX*SINY)
=(COSX*COSY)^2-(SINX*SINY)^2
=COS^2 X(1-SIN^2 Y)-(1-COS^2 X)SIN^2 Y
=COS^2 X -COS^2 X*SIN^2 Y-SIN^2 Y +COS^2 X SIN^2 Y
<span>=COS^2X-SIN^2Y</span>

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Alexia took out a 12-year loan for $72000 to renovate her home. If her monthly payments are $680, what is the interest rate?

mart [117]

Answer:

intrest equation

I/PT = R

$680 / $72,000 x 12 years = R

$680 / $864,000 = R

7.8703 = R

or rounded 8%

Step-by-step explanation:

3 0

3 years ago

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

The equation of the new function is $g(x)= cos4 x+1$

Explanation:

The Parent function is $f(x)=cos x$

We need to determine the new function g(x) using the transformation by stretching the f(x) horizontally by a factor of 4 and shifting it 1 unit up.

The function transformation formula is given by

$f(x)=a \cos b(x-c)+d$

Where a stretches the function vertically

b compresses or stretches it horizontally,

c shifts the function left or right

d shifts the function up or down

Since, it is given that the function stretches horizontally by a factor of 4 and shifting it 1 unit up.

Hence, $b=4$ and $d=1$

Substituting these values in the formula, we have,

$g(x)=cos4x+1$

Thus, the equation of the new function is $g(x)= cos4 x+1$

8 0

2 years ago

−5.010010001... number is rational or irrational or integer or real number?

mojhsa [17]

This is an irrational number because it cannot be written as a fraction

5 0

2 years ago

Please help me solve this

sp2606 [1]

Answer:

-1

Step-by-step explanation:

Let's use the formula!

6 - 3 = 3

-4 - (-1) = -3

The slope is -3/3 or -1

5 0

2 years ago

Read 2 more answers

I NEED HELP ASAP PLEASEEEEEE

earnstyle [38]

Answer:

3/24= 33/264

2/9= 12/54

4/5= 32/40

8/9= 16/18

42/18= 7/3

32/12= 8/3

Step-by-step explanation:

You have to use common factors and denominators to match numbers. VERY COMPLICTED! Hope this helps!

6 0

2 years ago