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How is trigonometry used in a cartographer?

Ah, trigonometry is like a gentle breeze guiding a cartographer's hand as they map out the world. By using trigonometric functions like sine and cosine, cartographers can calculate distances, angles, and shapes on maps with great precision. It's a beautiful dance between numbers and art that helps us navigate and appreciate the vast beauty of our planet.

What is meant by 'tangent to the path?

In mathematics, a tangent to a path refers to a line that touches the path at a single point without crossing through it. It represents the instantaneous direction of motion at that point on the path. Tangents are often used in calculus to calculate rates of change or slopes of curves at specific points. In physics, tangents to the path of a moving object can represent its velocity or acceleration at a given moment.

What quadrant does angle -1560 degrees lie in?

Angle -1560 degrees lies in the fourth quadrant, honey. Just imagine spinning around in circles like a drunken sailor - you'll end up facing the fourth quadrant eventually. So, in math terms, that negative angle is gonna be chilling in the fourth quadrant where negativity is welcome.

A tutor, or see the Related Link.

Is a triangle a perpendicular shape?

Only when it is in the form of a right angle triangle that it will have perpendicular lines that meet at 90 degrees.

In the Cartesian plane, the independent variable, if any, is usually plotted on the x-axis.

What are the three angles of a triangle that has sides of 79 cm 123 cm and 97 cm?

Let the angles be A B C and their opposite sides be a b c then by using the trigonometrical cosine rule the first two angles work out as 39.93 degrees and 88.05 degrees then deduct those angles from 180 degrees to find the third angle which will be 52.02 degrees.

Example problems in right plane triangle?

Here are a couple

Find the altitude of a triangle with base 3 and hypotenuse 5.

Find the altitude of an equilateral triangle with each side to 2

Is there a formula to work out trigonometry?

No, because trigonometry is a big subject: there are many formulae.

How do you get the greatest common factor of 12 and 54 using a tree?

12

6,2

3,2,2

54

27,2

9,3,2

3,3,3,2

2 x 3 = 6, the GCF

That doesn't depend on the temperature, but on the amount of UV radiation you receive.

How do you pass your Algebra 2-Trigonometry Honors class?

You should do all your work and study often, just like for any class. You'd might stay after school to ask your teacher for help.

Centre of circle: (3, -5)

Distance from (3, -5) to (6, -7) is the square root of 13 which is the radius

Equation of the circle: (x-3)^2 + (y+5)^2 = 13

How do I determine the creation date of an email?

If you have the email, check for some form of a timestamp on the email in the header or somewhere on the email.

Different systems of measuring an angle?

There are three main units for measuring a plane angle.

The most important, in advanced mathematics, is the radian. there are 2pi radians in a whole turn - or in a circle.

A better known measure, because it is taught in elementary mathematics, is the degree which is equivalent to 1/360 of a turn.

Finally, there is the gradian [1/400 of a turn], which is rarely used.

In 3-dimensional space, angles are measured in steradians and there are 4pi steradians in a sphere.

Where do the y and x axis meet?

They meet on the Cartesian plane at right angles at the point of the origin whose coordinates are (0, 0)

What mathematical contributions have occurred in the past fifty years?

The Atiyah - Singer index theorem.

How do you work out sin angles in trigonometry?

You could try the series sin(x) = 1 - x/1! + x^3/3! - x^5/5! + ...

but you would soon need a calculator. And if you're using a calculator you may as well use it to find the sine.