# Trigonometry

Pythagorean Theorem Questions

1.  Solve for x, rounded to the nearest tenth of a cm, where x is the hypotenuse and the lengths of the other two sides of a right-angled triangle are 13 cm and 16 cm.

2.   Solve for x, rounded to the nearest tenth of a cm, where the hypotenuse of a right-angled triangle is 15 cm, one of the other sides is 11 cm, and the unknown third side length is x.

Solutions to these two problems are given at http://www.youtube.com/watch?v=4mxPirCm5Bs&list=UUm-Z_cRxySqM3GkXMKmDPUg&index=2&feature=plcp

Questions re SOHCAHTOA  More Questions re SOHCAHTOA

1.   You're given Triangle ABC, in which B = 90 degrees, A = 37 degrees, and c = 11 cm.  Determine the length of side a to the nearest tenth of a cm.

2.   You're given Triangle ABC, in which A = 90 degrees, B = 56 degrees, and b = 15 cm.  Determine the length of side a to the nearest tenth of a cm.

Solutions to these two problems, as well as a brief tutorial on SOHCAHTOA, can be found at

3.   You're given Triangle DEF, in which E = 90 degrees, e = 19 cm, and f = 15 cm.  Determine the magnitude of angle D to the nearest tenth of a degree.

4.   You're given Triangle MNP, in which N = 90 degrees, m = 12 cm, and p = 29 cm.  Determine the magnitude of angle M to the nearest tenth of a degree.

Solutions to these two problems are given at http://www.youtube.com/watch?v=2czjn5v2SBY&feature=g-upl&context=G2282e2aAUAAAAAAAAAA

Cosine Law

1.   In Triangle GHI, solve for h , rounded to the nearest tenth of a cm, where g=19 cm, i= 14 cm, and H=111 degrees.

2.   In Triangle MNP, solve for P to the nearest tenth of a degree, where M = 12 cm, N = 13 cm, and P = 14 cm.

A tutorial on the Cosine Law, as well as the answers to both of these questions, can be found at http://www.youtube.com/watch?v=EcK2QSDU01w&list=UUm-Z_cRxySqM3GkXMKmDPUg&index=1&feature=plcp.  (The solution on the video uses the variable x within the solution, but it is not necessary to introduce this new variable).

Student Work in Trigonometry