Simplify the following expression: (sin^2(x) + cos^2(x)) / (sin(x)).
The numerator is a trigonometric identity: sin^2(x) + cos^2(x) = 1. So now you are left with (1) / (sin(x)). This simplifies to csc (x), which is your answer.
I do not know how to organize my assignments and efficiently get them done.
The best way to organize your assignments and tests, is to first look at your syllabus. Using a planner, go in and write down all the dates of any assignments and tests provided in your syllabus. Use your planner daily to determine how long you need to complete an assignment and when you need to begin working on it and to determine how far in advance you need to start studying for a test.
Solve the following equation for y: (3/4)x + (2/3)y > (5/2).
To get rid of the fractions, start by multiplying everything by the least common multiple shared by all the denominators. In this problem, the least common multiple is 12. After multiplying and simplifying, you are left with 9x + 8y > 30. Now solve for y, by subtracting 9x from both sides, and then multiplying by 8. Your answer is y > (-9/8)x + (15/4)