You should be very familiar with the graphs of these six basic trigonometric functions. Can you predict their shapes and characteristics before you see them graphed?[br] In the app check the checkboxes in the left column to see the graphs of the six basic trigonometric [br] functions. [br]Can you determine the basic shape and graph characteristics of the graphs of the derivatives before you see them graphed?[br] Check the checkboxes in the second column to see the graphs of the derivatives of these six basic [br] trigonometric functions.[br]Based upon these graphs can you determine in advance what the formulas are for these derivative functions?[br] Check the checkboxes for in the third column to see the formulas displayed. [br]After investigating them individually display all six derivative rules. Do you see some patterns?[br] One thing to notice is that if the original function starts with "co" then the derivative has a negative sign.[br] Also, the derivatives of the cofunctions are found by inserting this negative sign in, along with taking[br] the cofunctions of the functions in the derivative formula on the left. If you can memorize the rules on[br] the left of the display, then you should be able to use them to get the derivative formulas on the right.[br]One at a time, check the checkboxes in the last column to see the algebraic derivations of these derivative[br]formulas.