Trigonometry

Oh honey, without the Order of Operations, you're just asking for a hot mess. Trying to solve complex math problems without following the correct order of operations is like trying to bake a cake without a recipe - you're gonna end up with a disaster. So, technically speaking, any math problem becomes a nightmare without those rules in place.

The cotangent function is the reciprocal of the tangent function, so cot(115 degrees) is equivalent to 1/tan(115 degrees). Since tan(115 degrees) is equivalent to -tan(65 degrees) due to the periodicity of the tangent function, cot(115 degrees) simplifies to -tan(65 degrees), which corresponds to option A.

Sine(30) = 0.5 or 1/2

Assuming the '12 inch' is the radius.

Then

C = 2 pi r

C = 2 pi 12

C = 24 pi ( Thr asnswer in terms of 'pi').

is called the 'origin' , and has the co-ordinates of (0,0)

Use Pythagoras

h^(2) = H^(2) + b^(2)

h(hypotenuse is the ladder length at 39 ft.

H is wall height which is 36 ft.

Substitute

39^(2) = 36^(2) + b^(2)

Algebraically rearrange

b^(2) = 39^(2) - 36^(2)

b^(2) = ( 39 - 36)(39 + 36)

b^(2) 3(75)

b^(2) = 225

Square root BOTH sides

b = 15 ft .

The foot of the ladder should 15feet from the base of the house wall .

tan a=1/2 tan b=1/3 find tan (a-b)

Well, darling, to find the area of a triangle with those side lengths, you can use Heron's formula. So, plug in those side lengths (a=8, b=11, c=15) into the formula, calculate the semi-perimeter, and then solve for the area. Voilà, you've got yourself the triangle's area.

To find the height of the tree, we can use trigonometry. First, we need to find the distance from Scott's eye level to the top of the tree, which is 80 ft * tan(42 degrees). This distance is the height of the tree minus Scott's eye level (4.5 ft). So, the height of the tree would be the distance + Scott's eye level, which is (80 ft * tan(42 degrees)) + 4.5 ft. Calculating this gives us the height of the tree as approximately 64.5 feet.

A three-sided figure with two equal sides is called an isosceles triangle. In an isosceles triangle, two sides are of equal length, while the third side may be a different length. The angles opposite the equal sides are also equal in measure. Isosceles triangles exhibit unique properties in geometry, such as having a line of symmetry along the axis of the unequal side.

In the third quadrant, both the x and y coordinates are negative. Since tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle, in the third quadrant where both sides are negative, the tangent of an angle theta will be positive. Therefore, tan theta is not negative in the third quadrant.

Well, let's turn that decimal into a mixed number, shall we? 1.99 is the same as 1 whole and 99 hundredths. So, our mixed number is 1 99/100. Just a happy little conversion to brighten up your day!

Oh, dude, another name for a square-based pyramid is a "pyramid with a square base." Like, it's literally in the name. It's not rocket science, just a pyramid chillin' on a square. So, yeah, square-based pyramid, that's the vibe.

To perform matrix calculations on a Casio fx-991MS calculator, you first need to enter the matrix into the calculator using the matrix mode. Press the "Mode" button, then select "Matrix" mode by pressing the corresponding number key. Next, input the dimensions of the matrix (rows and columns) and enter the values of the matrix. Once the matrix is entered, you can perform operations such as addition, subtraction, multiplication, and finding the determinant or inverse using the matrix menu options.

To solve the equation 2cos(x) + cos(x) - 1 = 0, we first combine like terms to get 3cos(x) - 1 = 0. Then, we isolate the cosine term by adding 1 to both sides to get 3cos(x) = 1. Finally, we divide by 3 to solve for cos(x), which gives cos(x) = 1/3. Therefore, x = arccos(1/3) or approximately 70.53 degrees.

In mathematics, symmetry refers to a property where an object remains unchanged when it undergoes a transformation. For a number to be symmetrical, it must read the same forwards and backwards. For example, the number 121 is symmetrical because it reads the same forwards and backwards. However, the number 123 is not symmetrical as it reads differently when reversed.

15*cos(60) = 7.5

7.5 m

Oh, dude, let me break it down for you. So, we've got this quadrilateral ABCD with all these angles, right? And we need to find angle AEB, where E is the intersection point of AC and BD. Like, just do a little math magic with those angles, and you'll see that angle AEB is 80 degrees. Easy peasy, lemon squeezy!

A tetragon (a polygon with four sides) is more commonly known as a quadrilateral.

Do you mean

Sin(pi/7) or {Sin(pi)} / 7

Note the position of the '7' be it inside or outside the Sine Function.

Clarity is needed, in the position of the '7'.

However,

Maker sure you calculator is in 'Radian' mode.

Sin(pi/7) =

Sin(0.44879895...)

=0.0078329....

or

{Sin(pi)}/7 = 0.054803665.../7

= 0.007829095021....

Note the two different answers.

Theta is the classical Greek letter. It looks like an 'O', with an horizontal line through it.

It is used as an angular symbol in Trigonometry.

e.g.

Sin (Theta) = 0.5

So inverting Theta = 30 degrees.

Pythagoras.

The right turn is assumed to be 90 degrees, and moving southwards.

This forms the two shorter sides on a right angled triangle.

They applying Pythagoras.

h^)2) = 5^(2) + 12^(2)

h^(2) = 25 + 144

h^(2) = 169

Don't forget to 'square root' both sides!!!!

Hence

h = sqrt(169) = 13 .

This is a classic Pythagorean triangle.

'Axes'.

Linear ; x- axis

2- dimensional ; x-axis and y-axid.

3-dimensional ; x-axis, y-axis, and z-axis.

For all triangles, right-angled included, it is the multiplication of the base length times the perpendicular height x half.

Algebraically

A = 0.5bh

For a right-angled triangle it is the base length times to length of right angled (perpendicular) line times one half.

the origin and it has the coordinates of (0,0)