Simplify cos(2x)/
cos(x) - sin(x)?
•2 sin(x) cos(x)/
cos(x) - sin(x)
•2 sin(x) cos(x)/
sin(x) - cos(x)
•cos(x) + sin(x)
•cos(x) - sin(x)

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?