Trig Activity – Step-by-Step Directions
Chapter 4 TI-Nspire™ Activity – Trigonometry
Teacher Notes
A triangular plot of land has sides of
AB = 38.5 m, AC = 62 m and BC = 33.6 m. Find the angles formed by the three sides and the area of the triangular plot of land.
Note, side CD will serve as the height of the triangle.
Students will use their TI-Nspire™ CAS to solve for the degree measure of the three angles. They will need to know how to change the mode to degrees, how to access the Calculator application and use the Solve command. They should also have some experience in using a restricted domain so that the solve command is followed by a restriction indicating 0° ≤ angle ≤ 180°. Without the restricted domain, the results will be unreadable to students (and teachers!)
Note that the use of the Solve command does not require students to isolate the angle in either the Law of Cosines or the Law of Sines. They can type in a command such as:
Solve(622 = 38.52 + 33.62 – 2*38.5*33.6*Cos(θ) , θ)׀ 0° ≤ θ ≤ 180°)
The device will solve for the degree measure of θ. For students in this course, this will be a valuable feature as many students lack the level of sophistication in algebraic manipulations to work with variations on formulae.
As they work through the solutions, encourage students to use the h key to store results in variables. For example, when they use the Law of Cosines to find angle ABC, encourage them to enter a new command to store the result in b. See the instructions in the Trig Activity – step-by-step document.
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