Basic Trig Knowledge
What mnemonic device do we use to help us remember our trig ratios?
SOH-CAH-TOA
Find sin(A)
5/13
Find x in Triangle 1 using trig ratios.
12.4
Find <R in Triangle 1 using inverse trig ratios.
22.6
(Diagram 1) An airplane has climbed at an angle of 23 degrees. Find the horizontal distance it has traveled when it reaches 1200 meters in altitude.
2827 meters
What ratio represents sine? (Answer in terms of opposite, adjacent, and hypotenuse)
opposite / hypotenuse
Find cos(C)
5/13
Find y in Triangle 1 using trig ratios.
15.3
Find <T in Triangle 1 using inverse trig ratios.
67.4
What ratio represents cosine? (Answer in terms of opposite, adjacent, and hypotenuse)
adjacent / hypotenuse
Find tan(A)
5/12
Find x in Triangle 2 using trig ratios.
33.4
(Diagram 2) A person is standing 30 feet from the base of a building that is 50 feet tall. At what angle must they look up to see the top of the building?
59 degrees
What ratio represents tangent? (Answer in terms of opposite, adjacent, and hypotenuse)
Find sin(C)
12/13
Find y in Triangle 2 using trig ratios.
23.2
Find <A in Triangle 2 using inverse trig ratios.
38.9
What type of triangles do our trigonometric ratios work on? (Hint: it is one of the four classifications of triangles by angle.)
Right triangles
Find tan(C)
12/5
Find x in Triangle 3 using trig ratios.
25.5
Find <B in Triangle 2 using inverse trig ratios.
51.1
(Diagram 3) A kite is at a vertical height of 100 feet. The person flying the kite has let out 200 feet of string. Calculate the angle at which the kite is flying.
30 degrees (Special Triangle!)