1. Draw a right triangle with sides 4, 4√3 , and 8 units. Label all angle measures and sides. Using the side relationships from the figure, show that the following trigonometric identities hold true for either one of the non-right angles:

a.) tan Ө = sin Ө/cos Ө
b.) sin^2(Ө) + cos^2(Ө) = 1

Edit: Added the missing length value. Still extremely confused as to what to do.

Question

1.	Draw a right triangle with sides 4, 4√3 , and 8 units. Label all angle measures and sides. Using the side relationships from the figure, show that the following trigonometric identities hold true for either one of the non-right angles:

a.) tan Ө = sin Ө/cos Ө
b.) sin^2(Ө) + cos^2(Ө) = 1

Edit: Added the missing length value. Still extremely confused as to what to do.

espex · Answer

While you are missing one of the length values, you can use the SOH CAH TOA rules to replace each of the terms in the equations and show that they are equal.