Trigonometry

The cube has a side 5 units in length. The middle three on each edge will have two green sides, there are 12 non-overlapping edges so the answer is 36. (3 sides = 8,

1 side = 54, no paint 27)

tan (pi) / 1 is zero.

tan (pi / 1) is zero.

Length of longer leg = 9.4 tan 60 = 16.28 feet

Length of hypotenuse = 9.4 ÷ cos 60 = 18.8 feet

Perimeter of triangle = 9.4 + 16.28 + 18.8 = 44.48 feet

None.

Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.

0 degree to 90 degrees.

x = (2n+1)*pi/2 radians for any integer n.

It is -sqrt(1 + cot^2 theta)

Label the angles of the triangle A, B, and C. Label the side opposite angle A side a, the one opposite angle B side b, and the one opposite angle C side c.

Let's say you want to solve for angle A, you use the law of cosines:

a^2=b^2+c^2-2bcCosA

CosA is the "variable" in this equation, so isolate this. When you have that, you'll have some number (let's call it D) equal to CosA:

D=CosA

Use the inverse Cos function to find the measure of the angle:

Cos^-1(D)=A

And you have the measure of angle A.

From here you can either use the law of cosines again to find a second angle and then the third, though the easier route is usually to just use the law of sines for find the second angle and then the fact that all three angles add to 180 to find the third.

Quadrant II (Quadrant 2) is the region of the coordinate plane (xy-plane, a graph) that is above the x-axis and to the left of the y-axis. In this quadrant, all x values are positive and all y values are negative.

cos (42 degrees) = 0.74314 (rounded)

cos (42 radians) = -0.4 (rounded)

cos (42 grads) = 0.79015 (rounded)

Eight. -4 -3 -2 -1 1 2 3 4

3x+5 = 2x+13

3x-2x = 13-5

x = 8

Area = 0.5*21*28 = 294 square inches

First start by reducing 2,670 down to be greater than 0 but less than 360.

We can find co-terminal angles to 2,670 by subtracting 360:

2,670-360=2,310

2,310-360=1,950

1,950-360=1,590

1,590-360=1,230

1,230-360=870

870-360=510

510-360=150

So, now the problem is Tan(150).

This is equal to the Sin(150)/Cos(150). The Sin(150)=1/2 and Cos(150)=-sqrt(3)/2

So Sin(150)/Cos(150)=[1/2]/[-sqrt(3)/2]=[1/2]*[2/-sqrt(3)]=-1/sqrt(3)=-sqrt(3)/3

So Tan(2,670)=-sqrt(3)/3 ("Negative square root of three over three")

Providing that the pole is on level ground you have the outline of a right angled triangle with an adjacent side of 92 ft (the shadow of the pole) and a opposite side of 60 ft (the height of the pole). To find the angle of elevation use the tangent ratio. Tangent = Opposite/Adjacent Tangent = 60/92 = 0.652173913 Tan-1(0.652173913) = 33.11134196 degrees Therefore the angle of elevation is 33o correct to two significant figures.

The volume.

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

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.

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)■

In trigonometry, the value of R is the radius of the circle, and is usually normalized to a value of 1. If the circle is at the X-Y origin, and theta is the angle between the radius line R, and X and Y are the X and Y coordinates of the point on the circle at the radius line, then... sine(theta) = Y / R cosine(theta) = X / R secant(theta) = 1 / cosine(theta) = R / X cosecant(theta) = 1 / sine(theta) = R / Y

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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.