Final answer:
To find the domain with trig functions algebraically, identify the trig functions in the equation, determine their restrictions, and combine them to determine the overall domain.
Step-by-step explanation:
When finding the domain with trig functions algebraically, you need to consider the values that satisfy the restrictions of the trig functions. Here are the steps to find the domain:
- Identify the trig function(s) in the equation.
- Determine the restrictions for each trig function. For example, the sine function is defined for all real numbers, while the tangent function is undefined at angles that are a multiple of 90 degrees.
- Combine the restrictions for each trig function to determine the overall domain of the equation.
For example, let's consider the equation y = sin(x) + cos(x). The sine function is defined for all real numbers, and the cosine function is also defined for all real numbers. Therefore, the domain of this equation is all real numbers.