Tracey Pham

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**BQ#7: Unit V - Derivatives and the Area Problem**

1. Explain in detail where the formula for the difference quotient comes from. Include all appropriate terminology. First of all, the equation of the difference quotient is: It is used to find the slopes of the graph. To derive it, look at the picture belo...

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**BQ#6: Unit U**

1. What is continuity? What is discontinuity? Continuity means the graph is

predictable; it has no breaks, holes, or jumps. It can be drawn without lifting

the pencil off the paper. Discontinuity is when the graph can

contain breaks, holes, and jumps. It's ...

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**BQ#6: Unit U**

1. What is continuity? What is discontinuity? Continuity means the graph is predictable; it has no breaks, holes, or jumps. It can be drawn without lifting the pencil off the paper. Continuous Function Discontinuity is when the graph can contain breaks, hol...

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**BQ#4: Unit T Concept 3**

Why is a "normal" tangent graph uphill, but a "normal" cotangent graph downhill? ASYMPTOTES. They are the reasons why tangent goes uphill and cotangent goes downhill. As we previously learned, tangent is sine/cosine and the only way to make an asymptote is ...

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**BQ#3: Unit T Concept 1-3**

How do the graphs of sine and cosine relate each of the others? a) Tangent? First of all, we know that sine (red) starts and ends at zero and cosine starts and ends at 1; both of their periods is 2π. Looking at the picture above, in the first quadrant, sine...

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**BQ#5: Unit T Concept 1-3 - Graphing All Six Trig Functions**

Why do sine and cosine NOT have asymptotes, but the other four trig graphs do? Use unit circle ratios to explain. Sine and cosine do not have asymptotes because they can't be undefined. In order for a trig function to have an asymptote, it has to be undefin...

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**BQ#2: Unit T Intro - Graphing Sine and Cosine**

How do trig graphs relate to the Unit Circle? Trig graphs relate to the Unit Circle, because, if unwrapped, it will be a horizontal line with the four quadrants all laid out in a row. Period? - Why's the period for sine & cosine 2π, whereas the period for t...

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**Reflection#1: Unit Q - Verifying Trig Identities**

1. What does it mean to verify a trig identity? Verifying a trig identity means to prove that one side of the equation is equal to the other side, by using identities, of course. Also, you must remember that you must never touch the right side but just rear...

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**SP#7: Unit Q Concept 2 - Finding all Trig Function Values Using Identities**

Please see my SP7, made in collaboration with Vanessa C. by visiting her blog HERE . Also, be sure to check out the other fabulous posts on her blog.

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**I/D#3: Unit Q - Pythagorean Identities**

Inquiry Activity Summary: 1. Sin2x+cos2x=1 comes from the pythagorean theorem, which is x2+y2=r2. Next, you have to manipulate the pythagorean theorem so that there is only one "r". This is because in the unit circle, r is equal to one. To do this, you div...

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