Trigonometry

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 + ...

tan(24 deg) = 0.4452 approx.

sin A = -x/y

Since the sine is the ratio of the opposite leg to the hypotenuse, let's assume the opposite leg's length is -x and the hypotenuse's length is y. Let's call the adjacent leg's length z. So:

(-x)2+z2=y2

z2=y2-(-x)2

z2=y2-x2

z=√(y2-x2)

cos A = z/y = √(y2-x2)/y

cos x - 0.5 = 0

⇒ cos x = 0.5

⇒ x = 2nπ ± π/3

No. But sin2a equals 1 minus cos2a ... and ... cos2a equals 1 minus sin2a

0.999843309

By using The Napier's rule

It is 1.

(2x-5) (x-1)

If a kind of lizards get doubled in its population within 50 months, what will be the duration for them to get tripled.

Usually most of us would give the answer as 75 months ie 6 year 3 months.

But the answer is definitely wrong.

The right answer will be 6 years 7 months and 7 days nearly.

This because of exponential growth.

1 meter is 100 cm

Hence it will take half of 200cm to make 1 meter

An angle is positive when it is measured in a counter-clockwise direction. It is negative when it is measured in a clock-wise direction.

Shack comes from a pro basket ball player named Shackquille O'Neil(Shackquille might not be spelled right).

A full rotation takes 360 degrees. 1309 divided 360 is a little over 3. That mean that it requires 3 full rotations plus change. 1309 - 3(360) = 131. 131 degrees, which is greater than 90 but smaller than 180, is found in the second quadrant.

Yes.

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