- #1
PHK
- 18
- 0
Homework Statement
sec+csc/1+tan
The Attempt at a Solution
i tried simplifying it and the farthest i got was: 1/cos + 2/sin + cos/sin^2
im not sure that's even right
PHK said:its not that its, sec+csc and all that over 1+tan. sec+csc
.............1+tan
ignore the the dots the problem i am and talking about is in the the top right
also (sec+csc)/(1+tan)
PHK said:yea sorry for not being clear.
and i already tryed replacing them by the definition. i just end up with 1/cos + 2/sin + cos/sin^2
PHK said:maybe that's wrong then (1/cos + 2/sin + cos/sin^2), also i tried multiplying by cosx and i get 1/sin + cos - 1/cos i tried going further but it seems like I am doing something wrong. does anyone have the solution yet?
EugP said:[tex]\frac{\sec + \csc}{1+\tan}=\frac{\frac{1}{\cos} + \frac{1}{\sin}}{1+\frac{\sin}{\cos}}=\frac{\frac{\sin + \cos}{\cos \sin}}{\frac{\cos+\sin}{\cos}=\frac{1}{\sin}=\csc[/tex]
PHK said:[ (1/cos) + (1/sin) ] / [ 1 + (sin/cos) ] that's the original problem. how did you get csc from that?
Simplifying an expression means to reduce it to its simplest form. This involves combining like terms, using the order of operations, and eliminating unnecessary parentheses or terms.
The steps to simplifying an expression are: 1) Combine like terms, 2) Use the order of operations, 3) Eliminate unnecessary parentheses or terms. Repeat these steps until the expression is in its simplest form.
Yes, you can use your calculator to help with simplifying an expression. However, it's important to understand the steps and reasoning behind the simplification process in order to fully understand the concept.
You can check the correctness of your simplified expression by substituting values for the variables and evaluating both the original and simplified expressions. If they give the same result, then your simplified expression is correct.
There are some common patterns and properties that can help with simplifying expressions, such as the distributive property, the commutative and associative properties, and the use of exponents. However, it's important to always follow the proper steps and procedures to ensure the correct simplification of an expression.