$\text{L.H.S}\\\\=1+ \cos^4 x - \sin^4 x\\\\=1+ (\cos^2 x)^2 - (\sin^2 x)^2\\\\=1+(\cos^2 x + \sin^2 x)(\cos^2 x- \sin^2 x)\\\\=1+1\cdot(\cos 2x)\\\\=1+\cos 2x\\\\=2\cos^2 x\\\\=\text{R.H.S}\\\\\text{Proved.}$

7 0

2 years ago

Can someone help me on this equation b+0.17b=1.17b

Helen [10]

Answer:

b has infinite solutions.

Step-by-step explanation:

b + 0.17b = 1.17b

Minus 0.17b from both sides

b = 1.17b - 0.17b

b = 1b

b = b

What?!??! We'll of course b = b.

What does that tell us? b can be any number. Therefore:

'b has infinite solutions'

4 0

4 years ago

By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an op

liberstina [14]

The maximum value that could be reached would be about 211.05 cubic inches.

The initial measurements of the box are:
Length: 17
Width: 12
Height: 0

Right now, the volume is zero. However, if we let the height equal 0 (the amount of the cut out), we can write the following equation for the volume.

Volume = (17 - 2x)(12 - 2x)x

If you graph this, you will find a maximum value of 211.05, keeping in mind that the cut out must be less than 6.

5 0

3 years ago