All categories

3 years ago

Verify that (sinx -cosx)^2=1-2sin(x)cos(x)

Mathematics

2 answers:

Artist 52 [7]3 years ago

6 0

Answer:

See below.

Step-by-step explanation:

Left side = (sinx -cosx)^2 = sin^2 x + cos^2x - 2sinx cosx

Now sin^2 x + cos^2 x = 1 so we have:

1 - 2 sinx cosx = right side.

Nataly_w [17]3 years ago

5 0

<h3>(sinx - cosx)^2 = (sinx)^2 + (cosx)^2 - 2sinxcosx = 1-2sinxcosx</h3>

You might be interested in

Identify the terms and like terms in the expression 14 – 8x– 6 - 10x.

grin007 [14]

Answer:

Like terms are similar and terms are different.

Like terms :-

-10
14
-6

They are similar.

Terms :-

-8x²
-10x

One has an exponent and other does not which means they are not like terms and are only terms.

Hope this helps, thank you :) !!

4 0

3 years ago

Find the square root of 1010001 base two,leaving ur answer in base

lord [1]

(101001/4) 1/2

and can u answer my discussion

4 0

2 years ago

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 15 centimeters on each side, what is the leng

Illusion [34]

Answer:

130 centimeters

Completed question;

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?

A. 182 centimeters

B. 169 centimeters

C. 130 centimeters

D. 91 centimeters

Step-by-step explanation:

To determine the length of diagonal, we have to first find the length of each side;

According to the attached image;

The length consist of 8 tiles

And breadth consist of 6 tiles

Length per tile = 13 centimeters

Length = 8 × 13 = 104 centimeters

Breadth = 6×13 = 78 centimeters

Using Pythagoras theorem;

diagonal length d = √(104^2 + 78^2)

d = 130 centimeters

3 0

3 years ago

(HELP ASAP)

vova2212 [387]

The volume of a cylinder is $1178.1 \ cm^3$

Explanation:

Given that the diameter of the cylinder is 10 inches.

The radius of the cylinder is given by

$r=\frac{d}{2}$

$r=\frac{10}{2} =5$

Thus, the radius is 5 inches.

Also, given that the height is three times the radius.

Thus, we have,

$h=3r$

$h=3(5)$

$h=15$

Thus, the height is 15 inches.

The volume of the cylinder is given by

$V=\pi r^{2} h$

Substituting the values, we get,

$V=\pi (5)^{2} (15)$

$V=\pi (25) (15)$

$V=375 \pi$

Using the calculator, the value of pi is determined and multiplied with 375.

Hence, we have,

$V=1178.1 \ cm^3$

Thus, the volume of the cylinder is $1178.1 \ cm^3$

4 0

3 years ago

Math Help please 15 points

Law Incorporation [45]

1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.

In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.

4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40

This yields x = 5 cm

2) set up a proportion, similar to the first question.

(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10

the length of BC is (x + 4) + (2x + 1) = 3x + 5

this means BC = 35

4 0

3 years ago