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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

What is 6 sin 30 equals?

The sin of 30 is sqr(3)/2

so 6 * sqr(30) is 6 * sqr(3)/2

this is also 6/2 * sqr(3) which simplifies to 3 * sqr(3) which is approximately 5.19615242

What are the four quadrants of the earth?

A sphere is not usually divided into 4 quadrants. Dividing by 2 along each of the 3 orthogonal axes partitions the sphere into 8.

What is the reference angle to 960 degrees?

the referance angle of 960 is -60degrees

u have to circle the graph twice so it would be 960-360-360=240 (the 360s are how many turns it takes because it only goes up to 360 degrees so you have to subtract 360 from 960 twice to get it a number that's not over 360). so u get 240 which is graph III the lower left corner and subtract it 180-240=-60.

the angle should be connected with the x-axis never the y-axis..so never subtract from 90 or 270.

How do you find the value of an algebraic expression by substituting a number for each variable and simplifying?

The answer to the question is given in the question!If you want to find the value of an algebraic expression, then you need to substitute numerical values for each of the variables in the expression, and then calculate and simplify the result.

How do you find sin cos and tan values manually?

This is so much work that it is not worthwhile to do in practice, although the formulae themselves are actually quite simple. The basic method is to use a so-called "infinite series". The angle must be expressed in radians. If the angle is in degrees, multiply it by (pi/180), to get the equivalent angle in radians. Then, use the formula:

sin(x) = x - x3/3! + x5/5! - x7/7! + x9/9!...

The individual terms become smaller and smaller, quite quickly, so the idea is to continue adding more terms until you see that the terms become so small that you can ignore them (depending on the desired degree of accuracy). An expression like 5!, read "five factorial" or "the factorial of five", means to multiply all natural numbers up to five: 5! = 1 x 2 x 3 x 4 x 5.

Similarly,

cos(x) = 1 - x2/2! + x4/4! - x6/6! + x8/8!...

There is a more complicated formula for tan(x), or simply calculate as follows:

tan(x) = sin(x) / cos(x)

The formulae for sin(x) and cos(x) are derived from the Taylor expansion, explained in basic calculus books.

Evaluate the following without a calculator and leave in radical form cos 90 sin 270?

First draw the graph.

Label A S T C according to the order of plane.

Draw a 90 degree angle.

You see it's between All and Sin, so the answer is 0

Draw 270 degree angle.

You see it's between Tan and Cos, so the answer is -1

And when you mix them together, 0 times -1 = 0.

How do i simplify csc theta divided by sec theta?

By converting cosecants and secants to the equivalent sine and cosine functions. For example, csc theta is the same as 1 / sin thetha.

What is the answer of csc x plus cot x?

Without an "equals" sign somewhere, no question has been asked,

so there's nothing there that needs an answer.

Is it the sum that you're looking for ?

csc(x) + cot(x) = 1/sin(x) + cos(x)/sin(x) = [1 + cos(x)] / sin(x)

How do crime scene investigators use trigonometry?

Trigonometry is used in CSI in calculating bullet or other projectile trajectories, ballistics, analyzing what actually happened in automobile collisions, how objects fall from heights, and in many many other ways.

What is the range of y equals -sin x?

The range of -sin x depends on the domain of x. If the domain of x is unrestricted then the range of y is [-1, 1].

Y equals -cos x x equals 4 pi?

Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and any other relevant detail.

A right triangle has a hypotenuse of length 25 and a leg 15 what is the length of the other leg?

Pythagorean theorem:

A2 + B2 = C2

If, A = 15 and C = 25, solve for B.

152 + B2 = 252

225 + B2 = 625

B2 = 625 - 225

B2 = 400

B = sqrt(400)

B = 20

Therefore, the missing side is 20.

Sin x degrees equals 4 over 15 what would the value of x be?

x = sin-1 (4/15)

( sin -1 is [SHIFT] [sin] on a calculator )

= 15.5

Why isn't the Pythagorean theorem a law?

The axiomatic structure of geometry, as initiated by Euclid and then developed by other mathematicians starts of with 8 axioms or postulates which are self-evident truths". Chains of logical reasoning can be used to prove theorems which are then accepted as additional truths, and so on. Geometry does not have laws, as such.