Trigonometry

1 minute of arc is one sixtieth, or about 0.01667, of a degree. The sine of of 0.01667 degrees is about 0.0002909.

Trigonometry focuses specifically on the study of triangles, and concepts that are closely related to properties of triangles. Pre-Calculus is generally a preperation for the concepts of Calculus, and often reviews or builds upon concepts learned in previous forms of mathematics, which may include information learned from Trigonometry.

Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)

Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)

Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)

Use Pythagoras' Theorem - the hypothenuse of a right triangle is square root of (a2 + b2)

yes

first divide each side by 2 so you get...

sine^2(X)=1/2

Then make sine ^2(X)=sine(x^2)

SO you get... sine(X^2)=1/2

Then take the sine^-1 of each side it will look like this X^2=sine^-1(1/2)

type the right side into a calc which will give you a gross decimal but it works (0.5235987756)

so now you have

X^2=0.5235987756

then take the square root of each side to make it linear and you will get X=.7236012546

and that is your answer!!!! make sure to check it on your calculator...I did and it worked

* * * * *

Not quite correct, I fear. Try this:

Let s = sin θ.

Then,

2s2 = 1;

s2 = ½; and

s = ±½√2.

Therefore,

θ = 45°, 135°, 225°, or 315°;

or, if you prefer,

θ = ¼π, ¾π, 1¼π, or 1¾π.

.999 repeating = 1
So 1.0
think of it as
7/9 = .777...
8/9 = .888...
9/9 = .999... 9/9 = 1

The volume.

This is going to require some visualization. Cosine is defined as the x-value on the unit circle.

If you picture where a point would be, for example, at the angle of pi/6 (30°) you get a coordinate of (√(3)/2 , 1/2) so cosine is √(3)/2 and sine is 1/2

To find a negative angle you take the reflection across the x-axis. Since this does not chance the x-value, only the y, cosine does not change. The coordinates of -(pi/6) (-30°) are (√(3)/2 , -1/2).

cos(-x) = cos(x)

sin(-x) = - sin(x)■

Tangent and cotangent positive; other 4 negative.

1760 yards = 1 mile. 60 minutes = 1 hour. 36 inches = 1 yard.

50*1760 divided by 60 = 1466 yards 2 feet in one minute

Circumference of wheel = pi*36 = 113.0973355 inches

113.0973355/36 = 3.141592654 yards

1466.666666/3.14192654 = 466.8048878 revolutions in one minute

So the wheel makes 466 full revolutions in one minute.

You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.

Providing that the ground is level and that the wall is straight, you have the outline of a right angled triangle with an adjacent angle of 73 degrees and an adjacent length of 1.17 metres. In order to find the length of the hypotenuse (which is the ladder itself) we use the cosine ratio:

cosine = adjacent/hypotenuse

Which when rearranged is:

hypotenuse = adjacent/cosine

hypotenuse = 1.17/cosine73 degrees = 4.001755235

So the length of the ladder is 4 metres correct to one significant figure.

An airplane flying at an altitude of 2600m, approaching an airport runaway located 48km away, is descending at an angle of 3.1 degrees, rounded to the nearest tenth of a degree.

Construct a right triangle. Horizontal is 48. Verticle (opposite) is 2.6. Hypoteneuse is 48.07 by pythagorean theorem. The inverse sine of (2.6 / 48.07) is 3.1 degrees.

Sin(33.5) = 26/Length so Length = 26/sin(33.5) = 47.1 ft, approx.

First find the circumference of the whole circle using Pi x diameter. Halve the answer and add the diameter.

Thus: 3.1416 × 10 = 31.416 ÷ 2 + 10 = 25.708cm

So the perimeter of the semi-circle is 25.7cm

It depends on the objects, how far apart they are and whether or not one can be seen from the other. If they are moderately far apart, echo location (sonar or radar) located at one of the objects can be used. A beam of radio or sound waves is aimed at the object and the time taken to receive an echo is measured. Since the speed of radio waves or sound waves in the relevant medium is known, the distance travelled by these waves can be calculated. The distance to the object is then half the calculated distance (the waves have to go there and come back).

Thinking for less than a minute I come up with 3 (not counting rotations and mirrorings)

Thinking for another minute I come up with an infinite number.

The assignment is asking: A swuare with a side of 4 feet needs to be cut into four parts that are the same in size. Can you find six different ways to cut the square? Using the squares below, draw six different ways the square could be cut. Hint: The parts might not have the same shape.

We have already found 4.

I cannot answer this without knowing any more information. Finding the proper dimensions of a triangle without knowing the kind of triangle cannot really be done. Because it may be an isosceles triangle (every angle is equal) or it could be a 30-60-90 triangle etc.

8

On the unit circle at 90 degrees the 90 degrees in radians is pi/2 and the coordinates for this are: (0,1).

The tan function = sin/cos. In the coordinate system x is cos and y is sin.

Therefore (0,1) ; cos=0, & sin=1 . Tan=sin/cos so tan of 90 degrees = 1/0.

The answer of tan(90) = undefined. There can not be a 0 in the denominator, because you can't devide by something with no quantity.

Something with no quantity is 0.

Or, on a limits point of view, it would be infinity.

some use metric some useimperialand some use both, all depends what you are doing

For a normal school protractor it is 1 degree.

If u mean "deca". Then deca means 10.

Confusing?