Well, it is true that sin(b)/cos(b) + cos(b)/sin(b) = tan(b) + cot(b) , but you probably need to come up with something more surprising.DJ-Smiles said:Homework Statement
Simplify the following:
sin(b)/cos(b) + cos(b)/sin(b)
Homework Equations
Trigonometric identities
The Attempt at a Solution
Ok so i have no clue how to do this,I keep trying but can't seem to get the right answer, I have tried to do this:
sin(b)/cos(b) + cos(b)/sin(b)
=tan(b)+ 1/tan(b)
=tan(b)+cot(b)
I know this isn't right and I am encountering these types of questions quite often now, so I really need help. Please help me.
DJ-Smiles said:yeah I know it's just that the answer is 1/cos(b)sin(b). How would I get to this?
Trigonometric identities are mathematical equations that involve trigonometric functions, such as sine, cosine, and tangent. They are used to relate different angles and sides of a triangle and are essential in solving trigonometric equations.
Trigonometric identities can be challenging because they require a deep understanding of trigonometric functions and their relationships. They often involve complex algebraic manipulations and require multiple steps to solve.
Practice and repetition are key to improving your understanding of trigonometric identities. Start with simpler identities and gradually work your way up to more complex ones. Also, make sure you have a solid understanding of basic trigonometric concepts.
One strategy is to use the Pythagorean identities, which relate the trigonometric functions to each other and can simplify the equation. Another approach is to rewrite the equation in terms of one trigonometric function and then use trigonometric identities to simplify further.
One common mistake is to forget to check the domain of the trigonometric functions. Since some values of the functions are undefined, it is essential to make sure that the solutions fall within the valid domain. Also, make sure to thoroughly check your algebraic manipulations as a small mistake can throw off the entire solution.