Trigonometry

The best way to answer this question is with the angle addition formulas. Sin(a + b) = sin(a)cos(b) + cos(a)sin(b) and cos(a + b) = cos(a)cos(b) - sin(a)sin(b). If you compute this repeatedly until you get sin(3x)cos(4x) = 3sin(x) - 28sin^3(x) + 56sin^5(x) - 32sin^7(x).

The answer depends on what information you have.

That depends upon what you are given - the equation of the line, the coordinates of 2 points on the line, etc.

A tangent line.

That depends on the surface and the units, but the surface area tells us that infomation.

3x+2 x is a variable. A variable is a symbol (x, y, etc...) that does not have an assigned value.

If the room is rectangular, multiply the the lengths of the walls. If the shape is not rectangular, you will need to break it up into rectangles or squares. Draw it out on paper and break it up into smaller parts whose area you can find.

The related link shows a set of complex numbers that depict the Electro-Magnetic

fields around two wires. The formula is (z-1)/(z+1)

The point of origin is not in any quadrant. In fact, any point on the X or Y axis is not in a quadrant. In order for a point to be in Q1, Q2, Q3 or Q4, it must not be on an axis.

It is a legal term that refers to an act that causes damage but without infringing any legal rights.

For example, if you have a shop and I open a shop selling identical goods next door, I will probably damage your business but I will not have infringed your legal rights - unless you have some exclusivity arrangement.

area=(1/2)*base*height

If none of the letters were repeated, the answer would be 7!. However, the letters M & E are repeated. So, we need to divide the 7! by 2! twice to account for the two letters repeated twice. The solution is: 7! / (2! * 2!). This written out is: (7*6*5*4*3*2*1)/(2*1*2*1) or 1260.

sin(88) = 0.0353983027
sin(89) = 0.860069406 sin(89) - sin(88) = 0.824671103 0.824671103 / 0.860069406 = 0.958842504 Answer : 0.958842504

The circumference of a circle C is 2Pixr So solving for r we have C/2Pi=r

No. A circle has no straight lines. You can approximate circles with very small straight lines (that's how a computer draws circles) but mathematically, no.

The sine theta of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.

In effect, you have a right-angled triangle with an adjacent angle of 41.3o and an opposite side of 114 feet. There are several ways to find the length of the string (which in effect is the hypotenuse of the triangle), but in this case, the quickest way is to use the sine ratio. For any right-angled triangle: sin angle = opposite/hypotenuse. Rearranging the equation: hypotenuse = opposite/sin angle hypotenuse = 114/sin 41.3o hypotenuse = 172.7268362 feet. Therefore, the string is 173 feet in length correct to the nearest foot.

The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).

12:16 and 39 seconds. It is too hard to explain the answer without diagrams.

It depends on what else you know. If it is a non-right triangle, and you only know angle a, it is impossible to fing side A (the side opposite an angle usually has the same letter, but capitalized). If you know the other two sides, then I would use the law of cosines: For a triangle with sides A B C A = √(B2+C2-(2*B*C*(cos (a)))) If you know another angle and one side, I would use the law sines: A/(sin a) = B/(sin b) therefore, A = (sin a) * B/(sin b) If it is a right triangle, and you know another side, than your job is even easier: If you know the hypotenuse (side C), than: A = C *(sin a) If you know the adjacent side (side B), than: A = B * (tan a)

Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

2 11 4 10 6 9 8 8 10 7

30 feet. And you don't have to round it to the nearest foot. It's exactly 30 feet.

The diagonal is SQUAREROOT(1022 + 2962) = 313.08ft Angle = tan-1(102/296) = 19.01 degrees

1.428148