Trigonometry

1.8807 is. (rounded)

Radians:

tan(145)

= 0.5292052776

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

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.

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.

In both radians and degrees cos(0) = 1.

sin^5 2x = 1/8 sin2x (cos(8x) - 4 cos(4x)+3)

Neither.

tan114 = - 2.24604. This could easily be found by inputting the degree value into a calculator!

Yes.

It is a reflex angle

5 cycles.

Short answer, yes.

Long answer, a triangular prism has two triangular faces, its bases, and three rectangular faces, its sides, which connect the two faces. Unfolding the prism into a net reveals a rectangle divided into three rectangular sections (these are the three rectangular faces) and two congruent triangles attached along a common edge to one of these rectangles (these are the two triangular faces).

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 )

Use the trigonometric relations and identities.

6

Tangent(62 degrees) = 1.88073 (rounded)

Tangent(62 radians) = -1.09751 (rounded)

Yes they are. Both have a a period of 2 pi

Sin(19) = 0.3256 approx.

12 * 5/6 = (12*5)/6 = 60/6 = 10

1 + cot2x = csc2x

• No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected.
• Take, for example, cos(60 degrees), which equals POSITIVE 1/2.
• If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE 1/2.
• Now let's look at an odd function. For example, sin(30 degrees) equals POSITIVE 1/2. Now take the opposite of this.
• sin(-30 degrees), or sin(330 degrees), equals NEGATIVE 1/2. This is because it is found in the fourth quadrant, where the y's are negative. Sine of theta, by definition, is y divided by r. If y is negative, sine is negative.

The six main trigonometric functions are

sin(x)=opposite/hypotenuse

cos(x)=adjacent/hypotenuse

tan(x)=opposite/adjacent

csc(x)=hypotenuse/opposite

cot(x)=adjacent/opposite

sec(x)=hypotenuse/adjacent

Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.