answersLogoWhite

0


Best Answer

The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in the positive direction, and -pi/2, -3pi/2, -5pi/2, ... As a result, tangent(theta) is undefined at these values, so the domain of tangent is all numbers from negative infinity to positive infinity except all numbers n pi/2 where n is odd.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What are the domains of sine cosine and tangent?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How does the tangent function relate to sine and cosine?

Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.


How do you find sine cosine and tangent of 210 degrees?

Sine = -0.5 Cosine = -0.866 Tangent = 0.577


Do you need a right traingle to use sine cosine and tangent?

Yes, sine, cosine, tangent definitions are based on right triangles


What is the relationship between the tan and cot?

Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.


Where to use sine and cosine in physics?

The sine, cosine and tangent are used to find the degrees of a right angle triangle.


The laws of sine cosine and tangent are used where?

in trigonometry


Does tangent of x equal cosine divided by sine?

No, it does not.


What jobs use sine cosine and tangent?

Trigonometry


How do you find 2 missing sides of a right triangle?

Two methods to try . #1 Use pythagoras h^ = a^2 + a^2 NB THis is only good if you know that the two unknown sides are the same length. #2 Use trigonometry (trig.) This is good if you know the hypotenuse and one of the angles. Sine(angle) = opposite/ hypotenuse Hence opposite side = hypotenuse X sine(angle) Similarly Cosine(angle) = adjacent / hypotenuse. adjacent side = hypotenuse X Cosine(angle) Here is an example If you known the hypotenuse is a length of '6' and the angle is 30 degrees. Then opposite = 6 X Sin(30) opposite = 6 x 0.5 = 3 So the length of the oppisute sides is '3' units. NB DO NOT make the mistakes of saying Sin(6 X 30) = Sin(180) Nor 6 x 30 , nor Sin(6) X 30 , nor any other combination. You MUST find the SINE of the angle , then multiply it to the given length. Similarly for Cosine and Tangent.


The tangent of an angle equals the ratio of the?

Sine of the angle to its cosine.


What is Secant - cosine equals sine tangent?

It is a FALSE statement.


Why does the world have cosine sine tangent?

For solving the properties of triangles