This week in Precalc 11 I have learned how to apply Sin, Cos and Tan to solve trigonometric ratios. I chose to display my learning in solving trigonometric ratios because it is a big part in the trigonometry unit that I need to master before moving onto to harder equations.
To make sure that Sin, Cos and Tan can apply to your trigonometric ratio you need to translate SOH CAH TOA into letters you understand as well as the pythagorean theorem
Sin – Opposite/Hypothenuse to y/r
Cos – Adjacent/Hypothenuse to x/r
Tan – Opposite/Adjacent to y/x
A2 + B2 = C2 to X2 + Y2 = R2
Once you have your fractions translated you can now begin reading the word problem and identify the given trigonometric ratios given and how to translate them into answers. When given the Sin they gave you the y axis of the triangle and r, when they given Tan you have the x and y axis of the triangle, etc. Draw out your triangle to help solve the problem and use the pythagorean theroem to solve for missing sides. Write your answer out in what form they ask you to. Rationalize the denominator if asked to.
Down below I displayed an example including the translations and solving of trigonometric ratios.
