Table of Contents
What is the pneumonic for the inverse trigonometric ratios?
SOH-CAH-TOA Sine = Opposite ÷ Hypotenuse.
What can you solve for using inverse trig?
The inverse trigonometric functions sin−1(x) , cos−1(x) , and tan−1(x) , are used to find the unknown measure of an angle of a right triangle when two side lengths are known.
Is csc the opposite of sin?
We know that the cosecant is the reciprocal of the sine. Since sine is the ratio of the opposite to the hypotenuse, cosecant is the ratio of the hypotenuse to the opposite.
Are there any graphs of inverse trigonometric functions?
Graphs of Inverse Trigonometric Functions. Trigonometric functions are all periodic functions . Thus the graphs of none of them pass the Horizontal Line Test and so are not 1−to−1 . This means none of them have an inverse unless the domain of each is restricted to make each of them 1−to−1 .
How do you remember the trigonometric table?
To remember the trigonometric table, use the acronym “SOHCAHTOA,” which stands for “Sine opposite hypotenuse, cosine adjacent hypotenuse, tangent opposite adjacent. For example, if you wanted to calculate the sine of an angle or triangle, you’d know that sine is “sine opposite hypotenuse” based on “SOHCAHTOA.”.
How do you find the inverse of the arcsine function?
Domain & Range of arcsine function: Arctangent function is the inverse of the tangent function denoted by tan -1x. It is represented in the graph as shown below: Therefore, the inverse of tangent function can be expressed as; y = tan-1x (arctangent x)
What is the inverse of cotangent function?
Arccotangent function is the inverse of the cotangent function denoted by cot -1x. It is represented in the graph as shown below: Therefore, the inverse of cotangent function can be expressed as; y = cot-1x (arccotangent x) Domain & Range of Arccotangent: