Puzzling Pentagon?

Directions: Using the digits 1 to 9 and the math operations of +, -, ÷, ×; create expressions for the sides of the following pentagon where A > C > B.

Home-Plate.png

What can you say about angles a and b?

What are the measures of a and b?

How do you know your answers are correct?

Are there any other solutions?

Trig Ratios

Consider the following figure:

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What values of x, y and z will produce the following inequality?

csc B < sec B < tan B < sin B < cot B < cos B

 

How does the inequality

sin B < tan B < cos B < cot B < csc B < sec B

change your diagram, values or thinking?