The principal range of arc tan is an angle in the open interval (-pi/2, pi/2) radians = (-90, 90) degrees.
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If the angles are measured in degrees or gradians, then: tan 3 > tan 2 > tan 1 If the angles are measured in radians, then: tan 1 > tan 3 > tan 2.
Any calculator sold as a "scientific calculator" has the basic trigonometric functions (sin, cos, tan) and the inverse trigonometric functions (arc-sin, arc-cos, arc-tan). That's about all you need.You can also use the calculator that comes on your computer - for example, in Windows, press Windows-R, and then type "calc". You may have to change the calculator mode, to "scientific calculator". Yet another option is a spreadsheet, for example, Excel. Note that in Excel, angles are expressed in radians; if you want degrees, you also need the special functions to convert degrees to radians, or radians to degrees. However, if you want to do your homework while you are NOT at your computer, you are better off buying a calculator.
Oh honey, you're throwing some trigonometry at me? Alright, buckle up. The sum of tan20tan32 plus tan32tan38 plus tan38tan20 is equal to 1. Just plug in those values and watch the magic happen. Math can be sassy too, you know.
There is not much that can be done by way of simplification. Suppose arccot(y) = tan(x) then y = cot[tan(x)] = 1/tan(tan(x)) Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)
tan 20 = 2.23716094