Trigonometry

sin(21 deg) = 0.3584

it equals 4

The principle of legality; no act should be made criminal or punished without advance warning in the form of legislative act.

The sine function repeats every 2pi radians (360 degrees).

step by step:

15-g=23-2g transpose -2g to other side

15-g+2g=23-2g+2g cancel 2g on the right side, and do operation on the left side

15+g=23 transpose 15 to other side to obtain variable=constant

15-15+g=23-15 cancel 15 on the left side, and do operation on the right side

g=8 you already have the value of g

Normal way:

15-g=23-2g

2g-g=23-15

g=8

I hope this could help you...

cosine (90- theta) = sine (theta)

Use the trigonometric relations and identities.

COS squared Theta + SIN squared Theta = 1; where Theta is the angles measurement in degrees.

Precalculus is supposed to be a stringent and comprehensive review of both algebra and trigonometry. This is in preparation for calculus which uses both algebra and trig extensively.

arcsin(0.943)

= 1.23 ( in radian )

= 70.56 ( in degrees )

6

Suppose csc(x)*sin(x) = cos(x)*cot(x) + y

then, ince csc(x) = 1/sin(x), and cot(x) = cos(x)/sin(x),

1 = cos(x)*cos(x)/sin(x) + y

so y = 1 - cos2(x)/sin(x) = 1 - [1 - sin2(x)]/sin(x) = [sin2(x) + sin(x) - 1]/sin(x)

3

A function cannot be one to many.

Suppose y = tan(x)

Now, since tan(x) = tan(x + pi)

then tan(x + pi) = y

But that means arctan(y) can be x or x+pi

In order to prevent that sort of indeterminacy, the arctan function must be restricted to an interval of width pi.

Any interval of that width would do and it could have been restricted to the first and second quadrants, or even from -pi/4 to 3*pi/4. The problem there is that in the middle of that interval the tan function becomes infinite which means that arctan would have a discontinuity in the middle of its domain. A better option, then, is to restrict it to the first and fourth quarters. Then the asymptotic values occur at the ends of the domain, which leaves the function continuous within the whole of the open interval.

The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.

0% profit

tan(11o)

= 0.19438

=======

Radians:

tan(145)

= 0.5292052776

=================

No, not even close. Though both work with variables in some instances and other mathematical techniques, such as logarithms and algebraic manipulation, algebra is mostly equation solving to get the variables value, though trig has equations, while trig is the study of triangular and circular measurement and using these measurements to solve specific problems. Trig is much about identities, functions and many formulas while algebra is mostly about function and equation manipulation.

Still, they are both mathematical disciplines.

Some of them but not all.

For example, uniqueness.

The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.

1.8807 is. (rounded)

An equilateral triangle has three equal sides and three equal angles. Each angle is 60 degrees.

Most branches of mathematics - including trigonometry - deal with numbers. The square root of three is a number.

The sign function is used to represent the absolute value of a number when used in trigonometry. It is also referred to as the signum function in math.