Day Presentation

Corey Day

Fill in the blanks # 102- As x π/2⁻, sin(x) _____ and csc(x) _____ # 104- As x π/2⁻, tan(x) _____ and cot(x) _____ The “ x π/2⁻ ” means “x” approaches from the left.

You can approach this two ways:

1. Using your vast knowledge of the unit circle Or 2. Graphing the function

I chose to Graph them.

Graph the function: sin(x) This is it. It’s period is 2π, with a scale of π/2. The “y” values go from -5 to 5.

You simply look where the line is as it approaches π/2. In this case, it is at 1.

Graph the function: csc(x) Period = 2π, Scale of = π/2. “y” values from -5 to 5.

Look where the line is as it approaches π/2. Here, the answer is 1 again.

Graph the function: tan(x) Period = 2π, Scale of = π/2. “y” values from -5 to 5. Look where the line is as it approaches π/2. Since it is a tangent graph, there is an asymptote at π/2. Therefore, the answer is ∞.

Graph the function: cot(x) Period = 2π, Scale of = π/2. “y” values from -5 to 5.

Look where the line is as it approaches π/2. The answer is o.

Fill in the blanks Here they are for you. # 102- As x π/2⁻, sin(x) __1__ and csc(x) __1__ # 104- As x π/2⁻, tan(x) __∞__ and cot(x) __0__