In a crater, the slope of the side of the crater is simply the arc-tangent of the height difference divided by the horizontal distance.
The inverse tangent, also called the arc-tangent.
An inverse operation undoes it's composite operation. For example, Addition and Subtraction are inverses of each other, as are Multiplication and Division, as are Exponentiation and Logarithms, as are Sine and ArcSine, Cosine and ArcCosine, Tangent and ArcTangent, Secant and ArcSecant, Cosecant and ArcCosecant, and Cotangent and ArcCotangent
Since you didn't specify which trigonometric function you're using, I'll give you all of them.120 in Degreessin120 ~ 0.87cos120 ~ -0.5tan120 ~ -1.73csc120 ~ 1.15sec120 = -2cot120 ~ -0.58Answer in Degreesarctan120 ~ 89.52arccot120 ~ 0.48120 in Radianssin120 ~ 0.58cos120 ~ 0.81tan120 ~ 0.71csc120 ~ 1.72sec120 ~ 1.23cot120 ~ 1.4Answer in Radiansarctan120 ~ 1.56arccot120 ~ 0.008
A function cannot be one to many. Suppose y = tan(x) Now, since tan(x) = tan(x + pi) then tan(x + pi) = y But that means arctan(y) can be x or x+pi In order to prevent that sort of indeterminacy, the arctan function must be restricted to an interval of width pi. Any interval of that width would do and it could have been restricted to the first and second quadrants, or even from -pi/4 to 3*pi/4. The problem there is that in the middle of that interval the tan function becomes infinite which means that arctan would have a discontinuity in the middle of its domain. A better option, then, is to restrict it to the first and fourth quarters. Then the asymptotic values occur at the ends of the domain, which leaves the function continuous within the whole of the open interval.
arctangent
Angle equals the ArcTangent of (24 /72 ) or = ArcTangent (1/3) Angle is 18.42 degrees. The other larger angle is 71.58 degrees. Link for ArcTangent Calculator: http://www.analyzemath.com/Calculators_2/arctan_calculator.html
It equals the arctangent of the gradient of the incline.
Sine Cosine Tangent ArcSine ArcCosine ArcTangent
In a crater, the slope of the side of the crater is simply the arc-tangent of the height difference divided by the horizontal distance.
The angle of friction is the angle at which a body will start sliding on a surface. It is equal to the arctangent of the coefficient of static friction between the two surfaces in contact.
The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.
The angle that the velocity makes with the horizontal is called the launch angle. It can be calculated using trigonometry by finding the arctangent of the vertical component of the velocity divided by the horizontal component.
The inverse tangent, also called the arc-tangent.
-- Measure how far the slope rises in 100-ft of horizontal distance.-- That number is the percent of slope, or the "grade".-- If you want the angle of the slope, divide the number by 100, and look upthe "arctangent" of the answer in a table or on a calculator.
The basic primitive functions are constant function, power function, exponential function, logarithmic function, trigonometric functions (sine, cosine, tangent, etc.), and inverse trigonometric functions (arcsine, arccosine, arctangent, etc.).
You cannot calculate the angle using tangent: you need to use the inverse function: arctangent. The answer will be an angle, x, in the principal range (-90, 90) degrees. But it could be any (x + 180*k) for any integer k.