Condition operator
Syntax
Expression | Condition expression1Expression | Condition expression1 and Condition expression2Expression | Condition expression1 or Condition expression2Examples
Solving equations
With the solve command, TI-Nspire CAS solves equations symbolically or numerically. Note the use of the | operator.
Circle and sphere with CAS
You can calculate the area of a circle or the volume of a sphere using definite integrals. The solve command is used to isolate y from the equation of a circle.
Vector perpendicularity and parallelism
Vector problems can be solved by combining the solve command with vector commands. The image shows examples of perpendicular, parallel, and same-direction vectors.
Distance from a point to a line
The well-known formula for the distance from a point to a line can be derived using the Pythagorean Theorem and finding the shortest distance.
Equations related to the normal distribution
The guided normCdf command, found in the menu 5: Probability > 5: Distributions > 2: Normal Cdf..., allows you to calculate probabilities. Combined with solve, you can find missing values such as upper bound, mean, or standard deviation. Some equations require an initial guess to find a solution. Alternatively, you can use the density function and an integral.
Solving trigonometric equations
Solving trigonometric equations can be done in the CAS environment using the solve() command. Solutions can be expressed in a general form using an integer parameter or restricted to a specific interval by adding a condition. If needed, the solutions can also be converted into a list for further processing.
Simplifying logarithmic expressions
Many logarithmic expressions can be simplified simply by pressing Enter. If the expressions include variables, it is often necessary to define a domain to allow simplification. You can also try using expand and factor. These tools can be helpful, but may sometimes lead to unwanted forms, such as factorizations of base numbers.
