Trig Ratios
Inverse Trig
Formulaic Fun
100
sin(k) sin(j)
cos(k) cos(j)
tan(k) tan(j)
sin(k)=30/34
sin(j)= 16/34
cos(k) 16/34
cos(j)=30/34
tan(k)=30/16
tan(j)=16/30
100
Find Angle W
69.0°
100
What is the area formula for a triangle using trig functions?
A= 1/2 ab sin(c)
200
Find x
983.97 ft
200
This famous sci-fi Character is known to inverse his speech patterns, as evidenced by this quote, "Patience, you must have, my young Padawan"
Yoda
200
Find the area of this triangle.
174.7 ft2
300
Find the length of XZ. Round to the nearest tenth
9.8
300
When do we use inverse trig functions as opposed to the normal trig functions?
To find a missing angle in an image
300
A high school band director is planning the positions of band members on the football field during a half-time show. At a key point in the show, the members will form a triangle with points A, B, and C. The distance between points A and B is 18 meters, the distance between points B and C is 24 meters, and the angle between those sides is 42 degrees. If Angle A is 101 degrees, Draw a picture to help determine what the area will be of the triangle.
144.53 m2
400
Penny can see the clock on the top of her town’s courthouse from her front yard. The clock is at a horizontal distance of 140 meters from her house. If the angle of elevation from where she stands in her yard to the clock is 15°, what is the height of the clock if her eye level is 1.6 meters above the ground? Round your answer to the nearest tenth.
35.9 meters
400
Solve For all missing parts of the triangle
PQ=
Angle P=
Angle N=
PQ = 24.8
m∠P=31°
m∠N=59°
400
The lazy river ride at a water park flows through a pool area with a triangular platform where people can rest and sit under the trees. The diagram describes the triangular area. What is the area of the platform?
281.83 ft2