# Writing trigonometric functions as algebraic expressions

Not what you're looking for?

Write cos(arccosx + arctany) as an algebraic expression in x and y.

##### Purchase this Solution

##### Solution Summary

This shows how to translate a trigonometric function into an algebraic expression. The algebraic expressions are examined.

##### Solution Preview

First using cos(a+b)=cos(a)cos(b)-sin(a)sin(b)

we can write

cos(arccosx+arctany)=

cos(arccosx)cos(arctany)-sin(arccosx)sin(arctany)

=xcos(arctany)-sqrt(1-x^2)sin(arctany)

Above I used cos(arccosx)=x and ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts