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Featured 6 months ago

(a)

[Taking

Where

(b)

(i)

The value of

So

(ii)Here

Featured 4 months ago

Given:

Use this reference for Fundamental Frequency

Let

Using the fact that

The fundamental frequency is the greatest common divisor of the two frequencies:

Here is a graph:

graph{y = sin(4x) - cos(7x) [-10, 10, -5, 5]}

Please observe that it repeats every

Featured 1 month ago

**meaningless,**

Remembering that,

and, adding these give,

Obviously, **no** such

Hence,

**Enjoy Maths.!**

Featured 1 month ago

This is essentially a guess, but note that all of these angles have exact algebraic expressions for the their trigonometric values. So the question probably wants you to express this quotient as an exact algebraic expression.

Since all of the angles are positive but less than

To find the value of

Then:

#sin 45^@ = "opposite"/"hypotenuse" = 1/sqrt(2) = sqrt(2)/2#

For the other two trigonometric values, consider a right angled triangle with sides

We have:

#cos 30^@ = "adjacent"/"hypotenuse" = sqrt(3)/2#

#sin 60^@ = "opposite"/"hypotenuse" = sqrt(3)/2#

Having obtained our trigonometric values, here's the algebra:

#sin 45^@/(cos 30^@+sin 60^@) = (sqrt(2)/2)/(sqrt(3)/2+sqrt(3)/2)#

#color(white)(sin 45^@/(cos 30^@+sin 60^@)) = sqrt(2)/(2sqrt(3))#

#color(white)(sin 45^@/(cos 30^@+sin 60^@)) = (sqrt(2)sqrt(3))/6#

#color(white)(sin 45^@/(cos 30^@+sin 60^@)) = sqrt(6)/6#

Featured 4 days ago

#=>6(tan^2x)xxcos^2x-4sin^2x xxcos^2x=cos^2x

when

but

so this solution is not acceptable.

when

For

For

Featured 5 days ago

Graph

We know that

I would assume you know how to graph a

Now, you need to graph

Imagine you have a function

What this means is that for any point

That is what this

This means that all points on *earlier* than *left* by 1 unit to obtain

To generalize:

If **right** to get

**Now, we can apply it to this question:**

We have **left** by

The blue curve is your

The red curve is your

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