Trigonometry

3 ≤ M ≤ 4 or M belongs to the set [3,4] - using the square parentheses.

The 'included' angle between sides 9 and 8.5 is 106.225 and so the area of the triangle is 0.5*9*8.5*sine(106.225) = 36.727 square cm rounded up to 3 decimal places.

cos90=0

They typically aren't useful in your everyday life unless your job requires them.

There r 3 formulas for cube.

Volume- (side X side X side)

Curved surface area- 4(side X side)

Total surface area- 6(side X side)

Radians.

tan(54)

= 0.6738

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blarghgh

Yes. (Theta in radians, and then approximately, not exactly.)

when trying to find the angle of a right triangle using only the opposite leg and the hypotenuse, eg. angle =sin opp leg over hyp

* * * * *

Also to find the area of a triangle if two sides and the included angle are known.

Or the area of a sector of a circle.

Yes.

If you have a quadratic function with real coefficients then it can have:

two distinct real roots, or

a real double root (two coincidental roots), or

no real roots.

In the last case, it has two complex roots which are conjugates of one another.

tan3theta

Double verticle lines surrounding an expression means to take the absolute value of the expression.

The absolute value of an expression is the expression if it is positive, and the negative of the expression if it is negative, i.e. the unsigned distance from zero. Analytically, in order to process the expression, the absolute value of an expression is also the square root of the square of the expression.

cos-1(0.74) = 42.26858443 degrees

Take the number you have out of the whole, then dived it by the whole number. Multiply the resulting number by 100 and that's your percent.

Example:

What percentage is 7 of 10?

7 / 10= .7

.7 x 100 = 70

7 is 70% of 10.

sin2X = sin2X

What is it about ' equation ' you do you not understand. Of course they are equal!

Because of the periodicity of trigonometric functions, calculators will only give the principal value. It would appear that the principal range for your calculator is 180 to 180 degrees rather than 0 to 360.

It was 6 radians per second.

Angular acceleration = -3 radians per second2

Initial angular velocity = 6 radians per second.

Final angular velocity = zero.

Average angular velocity = 3 radians per second.

Angular displacement in 2 seconds = 3 x 2 = 6 radians.

A seven sided 2D shape is a heptagon.

Algebra and Trigonometry Differences Algebra uses numbers and letters to help solve problems where there is an unknown. So you'll use a variable or a letter "x" to replace the part of the problem that you want to solve. For example, I want to go to another town for an interview and have only so much gas in my car. I know how much gas costs and I want to get to the other town and back for my interview. So how much gas do I need to put in my car to get there and back? Algebra lets me use what I know, the tank holds so many gallons, it costs so many dollars, then I'll need to put in so much gas to get there and back. I will use letters like "x" or "y" to represent the part of the equation I have to figure out. Then solve the equation and plug in the answers to make the equation "equal" or to "work out." In the teaching of Algebra there are usually introductions and reviews relating to geometry, linear equations, graphs, percentages, decimals, fractions and the order of operations. You'll need these later in Trigonometry as well. Trigonometry is a higher form of Algebra. In Trigonometry you will use more complicated letters and numbers to represent more complicated formulas. You can and do use Trigonometry everyday without even knowing it. For example, you could figure out the properties of a tsunami by using a Trigonometric formula. You could also figure out the age of a tree by looking at the rings. The ever growing circle of growth can be expressed in a Trigonometric formula! In Trigonometry you'll use exponents, graphs (many, many graphs), functions, and everything you learned in basic Algebra. The formulas in Trigonometry aren't difficult if you remember that you can "cancel" or break down like terms on both sides of the equal sign. Remember, equal means equal. When figuring out a problem, once you find like terms and cancel them out on both sides of the equal sign, the problem will go down to the common forms and Voila! Your Trigonometry problem will resemble a simple Algebra problem where you can use logic to answer the question.

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You didn't need an essay to explain the "difference". There isn't one anyway because Algebra is simply the set of symbols and rules in which all other mathematical concepts and problems, including trigonometry, are expressed and solved.

Looking at all these strange "difference between" questions, it seems to me people are treating algebra as an isolated academic topic. It is not. It is fundamental to mathematics so cannot be separated and packed into its own box.

People once believed that madness was affected by the phases of the moon. A lunatic was thus someone afficted with "moon madness"

theta = arcsin(0.0138) is the principal value.

TRIGONOMETRY

The question asks about the "any other way". That implies that you have some way (or ways) in mind but are seeking an alternative. In those circumstances would it be too much to expect that you tell us what that way is?
There are very many expressions for pi as infinite series. Some of those easier to remember are:pi = 4*(1 - 1/3 + 1/5 - 1/7 + 1/9 - ...) or (pi^2)/6 = 1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 + ...