Question

Multiply and Simplify

cos(theta) sin(theta)(sec (theta) + csc (theta))

Answer 1

Before I put out my answer, I just want make note that sec() = 1 / cos() and csc () = 1 / sin ()

1) Once you distribute cos()sin() to sec(), the cos() will cancel out with the sec() to make it just sin(), and once cos()sin() is distributed to csc(), the sin() will cancel out with the cos()

2) After doing that you should just be left with sin() + cos()

3) And since no more simplification can be done, that is your answer :D