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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.
Which ratio describes the tangent function?
The ratio of sine and cosine.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
What is a Tangent function?
The tangent function, often denoted as tan(x), is a mathematical function defined in trigonometry as the ratio of the sine and cosine functions: tan(x) = sin(x) / cos(x). It represents the slope of a line that intersects the unit circle at an angle x and is periodic with a period of π. The tangent function is undefined at angles where the cosine is zero, such as π/2 and 3π/2, resulting in vertical asymptotes on its graph. It is commonly used in various applications, including physics, engineering, and geometry.
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.
What is the reciprocal of a tangent?
Reciprocal of tangent is '1 /tangent' or ' Cosine / Sine '
Is a cosine function continuous?
Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
Which ratio describes the tangent function?
The ratio of sine and cosine.
How do you work out the angles in a triangle with only 3 sides and no angles?
use the inverse sine or cosine or tangent
How do you solve for a triangle with two angles but no lengths?
you can use the sine, cosine, tangent formula.
What are the six trigonometric functions of special angles?
sine, cosine, tangent, cosecant, secant and cotangent.
What are the six trigonometry function?
sine, cosine, tangent, cosecant, secant, cotangent.
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
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.
Is the sine functions an odd function?
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.
Why is the secant function is an even function and the tangent and cosecant are odd functions?
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
