SOLUTION: Simplify the trigonometric expression. Once you have simplified the expression completely, change all trigonometric functions in the simplified expression to sines and cosines. Fin

Question 924637: Simplify the trigonometric expression. Once you have simplified the expression completely, change all trigonometric functions in the simplified expression to sines and cosines. Finally, let s = sin θ and c = cos θ and enter your answer below. For example, if the expression simplifies to tan θ, you would enter s/c in the answer blank.
csc(θ) + cos(-θ)cot(-θ) =
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Use the definitions and go from that.

Deal with the negative signs in the functions first.
Refer to the Unit Circle for visual help.

, notice common denominators.

, justification here for the basic Pythagorean Thm. Identity

.

The other described substitutions are not really needed; but they COULD be used when you finally have all function inputs as the positive t, which I chose to use instead of " t h e t a ". (We would need to spell it with all five letters to make the rendering work.)
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