Trigonometry

0.97029

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You can nearly:

Sine2 + Cosine2 = 1 so cos2 = 1 - sin2

so that cos = sqrt(1 - sin2)

Unfortunately, you cannot tell whether it is the principal sqrt or its negative equivalent.

180 degrees, or pi.

Approx 7.075 km.

They intersect at 90 degrees

Mass and weight are two different things. It does not make sense to ask which is more accurate.

Mass is used to measure an object's ability to resist a force. f = ma, or m = f/a.

Weight is used to measure an object's force applied due to gravity. Measured in newtons, f = ma, or newtons = kilograms time 9.81 meters per second squared.

i don't know :) XD

[]=theta 1. sin[]=0.5sin[] Subtract 0.5sin[] from both sides.
2. 0.5sin[]=0. Divide both sides by 0.5.
3. Sin[] =0.
[]=0 or pi (radians)

the opposite

The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.

The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.

In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.

For all angles x (x real, x ≠ k*pi radians for integers k),

cot(x) = 1/tan(x).

circumference = 2*pi*7 = 43.98229715

arc = (120/360)*43.98229715 = 14.66076572 or 14.661 units rounded to 3 dp

171

This is an inequality equation in the form of:

ii < xxii/viii which is the same as 2 < 22/8

Normally you would use one of the infinite series to calculate the sine of an angle.

Fortunately, though, this has already been done and was published in mathematical tables. Nowadays, though, you would simply use a computer or calculator.

Even more fortunately, sin(30 deg) = 1/2 so you don't even need a calculator.

When you differentiate a function, you find the slope of the function. The slope is also known as the tangent.

The slope of a line, given one point, and a second point relative to the first point, but with x different, is given as delta y over delta x.

Differentiation is simply taking the limit of the slope, i.e. where delta x approaches zero.

a = a/2*b*sinC

Multiply both sides of the equation by 2 to eradicate the fraction:

2*a = a*b*sinC

Divide both sides by a*b which will enable you to cancel out "a" and also make sinC the subject:

sinC = 2/b

The study of trigons - or triangles.

mostly it comes from memorization. If sin 30 = 1/2, then arcsin (1/2) = 30

Is this a vertical ladder? Another contributor's answer:Providing that the slide is on level ground and that the ladder is vertical then you have the outline of a right angle triangle with an hypotenuse (the slide) of 3 metres and an adjacent angle of 40 degrees. To find the height of the opposite (the ladder) side of the triangle use the trigonometrical sine ratio: sine = opposite/hypotenuse When the ratio is rearranged: opposite = hypotenuse*sine opposite = 3*sine 40 degrees = 1.928362829 metres So the height of the ladder needs to be nearly 2 metres high.

The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.

sin(30) = 1/2

(-1-√3)/(2√2)

They are 12.59 and 5.34 units respectively.