Here are some advanced math and trigonometry problems for the exam.
Trigonometry – Example 1:
You will be asked questions about trigonometric relationships on the examination.
Be sure that you know the key trigonometric formulas.
They key trigonometric formulas for any given angle, which we will call A, are as follows:
Inequalities – Example 2:
The trigonometry problems on the test may involve solving linear and quadratic inequalities.
These types of problems contain 2 variables, usually x and y, and the > or < signs.
For all positive integers x and y, if x − 5 < 0 and y > x − 5, then y is greater than what whole number?
x − 5 < 0
x − 5 + 5 < 0 + 5
x < 5
Now solve for y by replacing x with its value from the first inequality:
y > x − 5
y > 5 − 5
y > 0
Equations – Example 3:
You will also need to know how to simplify advanced mathematical equations in order to solve trigonometry problems on the test.
This question is asking you to simplify the variables in the parentheses.
First, you should look to see if any term is subtracted.
In this problem, the second part of the equation is subtracted.
So we need to perform the operation on the second set of parentheses to make the numbers negative:
Then we can remove the remaining parentheses:
Now simplify by grouping the integers together and the common variables together: