What did they do wrong?
- The student seems to have taken each trig. function individually and put them in fraction form (ex: sin/1) and divided them as in the original form.
- Then he took csc(x)= 1/sin and sec= 1/cos and crossed cancel the original sin and cos. He then equal 1/1= 1
What they had done instead?
(shown in the picture)
- Instead of putting them individually over ones they should have taken csc=1/sin (x) and sec= 1/cos(x) then multiply top and bottom.
- they should have gotten sin^2+ cos^2, and seen it as a trig. identity that would equal to one.
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