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Simplify Seven Trigonometric Expressions

1. [sin(x+b) + cos(x+b)]/[cos(x+b)-sin(x+b)]=

2. cos^2(x+b)-cos^2(x-b)=

3. tan x + cot 2x =

4. tan (45 + x) -tan (45 -x)=

5. tanx - cotx + cot 2x =

Plus two more...

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Seven trigonometric expressions are simplified. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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