Inverses of Trigonometric Functions
Read this topicExplanations 3
- Try to remember what an inverse function is! We've seen before that an inverse function is when we reflect the function over the line y=xy=xy=x. Let's think about what happens i…
By Brandon Lin, Anusha Rahman
- Trigonometric Inverses Now that we understand the basic trig functions, we can move forward to inverses of trig functions. If we are given the sides of a triangle, and we need t…
By Anusha Rahman
- Inverse Trig Functions by Professor Dave Explains In this video by Professor Dave Explains, you will learn about inverse trig functions. Summary Professor Dave introduces the co…
By Anusha Rahman
Problems 4
- Simplify sin(2sin−1(x))\sin(2\sin^{-1}(x))sin(2sin−1(x)) without the use of inverse trigonometric functions.
- Let f(x)=sin−1(x)f(x) = \sin^{-1}(x)f(x)=sin−1(x). What is the domain of fff?
- Define a function fff via f(x)=cos−1(x)f(x) = \cos^{-1}(x)f(x)=cos−1(x). Which of these could be the range of fff?
- How many real numbers xxx satisfy tan(x)=tan−1(x)\tan(x) = \tan^{-1}(x)tan(x)=tan−1(x)?