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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

Logx equals 0.25 what is x?

logx = 0.25 =1/4 4logx = 1 log x^4 = 1 x^4 = 10 x = 4th root of 10 =1.778

What is the sine of 10 degrees?

sin 10° = 0.17364817766693 Source: http://calculator3.sdsu.edu/calculator3.php

What is the sine of 75 degrees?

The sine of 75 degrees is about 0.9659

How is tangent defined?

The tangent of an angle theta is defined as sine(theta) divided by cosine(theta). Since the sine and cosine are Y and X on the unit circle, then tangent(theta) is Y divided by X.

The tangent of a function at a point is the line going through that point which has slope equal to the first deriviative of the function at that point.

In trig how is the value of r interpreted geometrically in the definitions of the sine cosine secant and cosecant?

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

How do you get cosine of 70 degrees?

Note: When doing trigonometry, it is highly recommeded that you have a scientific calculator at hand. Also, make sure your calculator is in Degree (D or Deg) mode and not Radian (R or Rad).

To find the cosine of 70o, press 'cos', then type in 70, then press equals. You should get 0.342 (to the nearest 3 decimal places).

How do you find the sides of a right angled isosceles triangle when you know the angles?

You cannot.

A right angled isosceles triangle will always be 90-45-45 so knowing the angles does not add any information. Without knowledge of any one side, you cannot distinguish between the infinitely many similar 90-45-45 triangles.

When the shadow of a flagpole is 31.2m long a 1.6m fencepost casts a shadow 2.6m long how tall is the flagpole?

First, find the ratio of fencepost-height : shadow which is 1.6 : 2.6 . This can also be written as a fraction, 1.6/2.6 . Then, multiply the flagpole's shadow by this ratio:

31.2 x 1.6/2.6 = 19.2

The flagpole is 19.2m high.

The trigonometry way:

On the imaginary right angled triangle formed by the fencepost and its shadow, let the angle at which the hypotenuse meets the ground = θ

sinθ = 1.6/2.6

sinθ = /31.2

x/31.2 = 1.6/2.6

2.6x = 31.2 * 1.6 = 49.92

x = 19.2

The flagpole is 19.2m high.

What is vertical line test in a function?

If, at any time, a vertical line intersects the graph of a relationship (or mapping) more than once, the relationship is not a function. (It is a one-to-many mapping and so cannot be a function.)

What does sine theta mean?

Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.

What the meaning of sine pari?

Sine Pari is Latin for "without equal".

What are inverse sine inverse cosine and inverse tangent used for?

to find the measure of an angle.

EX: if sin A = 0.1234, then inv sin (0.1234) will give you the measure of angle A

What is the law of trigonometry?

There is no single law in trigonometry so the question makes no sense.

How do you find the elevation of the sun?

WARNING: Do not, under any conditions, look at the sun, directly or indirectly.

The find the elevation of the sun, measure the angle that an object's shadow from the sun makes. One way to do this is with a stick in the ground. Assuming the stick is perpendicular to the ground, the ratio of the stick's length to the shadow's length is the tangent of the angle of elevation. Solve for inverse tangent, and you have the angle.

What is the period of tan x?

The period of the function y= tan(x) is pie

The periods of the functions y= cos(x) and y= sin(x) is 2pie

Value of tan pie over 1?

tan (pi) / 1 is zero.

tan (pi / 1) is zero.