Standard # 1 TF1. Unit Circle
1)Convert to degrees2) Convert 1065° to radians3) Find a reference angle for 600°
4) Find + / - co-terminal angle for # 1 above.5) sin = 6) cos =
7) tan = 8) What quadrant is in if sin < 0 and cos > 0?
9) What quadrant is in if tan < 0 and sin > 0?10) cos =
Standard # 2 IF7. Transformations of Graphs
1) a) amplitude ______b) period ______c) frequency ______d) midline ______
2) a) amplitude ______b) period ______c) frequency ______d) midline ______
3) a) amplitude ______b) period ______c) frequency ______d) midline ______
4)What is the period of the following function? ______5) What is the midline of the function in # 4? ______
6) What is the amplitude of the following function? ______7) What is the frequency of the function in # 6? ______
8) What is the y intercept of the following function? ______9) What is the midline of the function in # 8? ______
10) Graph the following function:
Standard # 3 TF5. Graphing a Unit Circle
1)What is the equation that represents the following graph?
2)What is the equation that represents the following graph?
3)What is the equation that represents the following graph?
4)What is the equation that represents the following graph?
5)What is the equation that represents the following graph?
6)Graph the following:
7) Graph the following:
Standard # 3 TF5. Graphing a Unit Circle, continued
8) Graph the following:
9) When answering a Ferris wheel question, all graphs begin under/over the midline (circle one)
10) When answering a Ferris wheel question, all graphs are sine / cosine curves (circle one)
Standard # 4 BF4. Inverses of Functions
1) What inverse function is this? 2) What inverse function is this?
3) What inverse function is this? 4) Evaluate 5) Evaluate
6) Evaluate 7) Evaluate 8) Evaluate
9) Solve: 10) Solve: 11) Solve:
12)
Standard 5: SRT.9 Areas of Triangles
1) Find the area of triangle ABC when a = 8.4 cm, b = 3.7 cm and C = 44°
2) Find the area of triangle ABC when AB = 6.7 cm, AC = 9.3 cm and < BAC = 55°
3) A triangle of area 21.4 has two edges measuring 9.8 and 5.9 cm respectively. Find the angle between those two edges.
4) A triangle ABC has an area of 17.3 . AB = 6.3 cm and < BAC = 31.4° What is the length of the edge AC?
5) A new homeowner has a triangular – shaped back yard. Two of the three sides measure 53 ft. and 42 ft. and form an included angle of 135°. To determine the amount of fertilizer and grass seed to be purchased, the owner has to know, or at least approximate, the area of the yard. Find the area of the yard to the nearest square foot.
6) Find the area of the triangle drawn in the figure: 7) Find the area of the triangle drawn in the figure:
8) Find the area of triangle DEF if DE = 11 mi, EF = 6 mi, and FD = 9 mi.
9) Find the area of triangle QRP if QR = 11 m, QP = 10 m, and <RQP = 29°
10) Find the area of a triangular playground, to the nearest square meter, with sides of length, 10 m, 15 m, and 16 m.
Standard 6. SRT.10 Laws of Sines and Cosines
1) Two airplanes leave Berlin, one heading straight for London and the other straight for Paris. Use the Law of Cosines to estimate the measure of the angle, , they will form.
2) Find BC
3) Find JM 4) Find the measure of the smallest angle.
5) Find DE in triangle DEF if <D = 30°, <F = 64°, and DF = 17. 6) Find TA in triangle TAR if <R = 120°, AR = 18, and RT = 25.
7) Two lookout towers are 50 kilometers apart. The ranger in Tower L sees a fire at point C such that m<CLM = 40°. The ranger in Tower M sees the same fire such that m<LMC = 65°. How far is the fire from Tower L? (Hint: draw a picture and label)
8) A baseball infield is determined by a square with sides 90 ft. long. In the diagram,
home plate is H and first base is F. Suppose the first baseman ran in a straight line
from F to catch a pop-up at B, 120 ft. from home plate. If the measure of <FHB is 10
how far did the first baseman run?
9) Solve the following triangle ABC if <A = 31°, a = 22 and b = 9. 10) Solve the following triangle ABC if a = 6, <B = 14.3°, c = 25
Standard # 7. TF.9 Identities and use of Sum and Differences
1) Simplify 2) Simplify 3) Simplify
4) Simplify 5) Simplify 6) Simplify
7) Evaluate 8) Evaluate 9) Evaluate
10) Evaluate
Standard # 7. TF.9 Identities and use of Sum and Differences
1) Simplify 2) Simplify 3) Simplify
4) Simplify 5) Simplify 6) Simplify
7) Evaluate 8) Evaluate 9) Evaluate
10) Evaluate