LoS/LoC
The information needed to use law of cosines (which sides or angles)
What is side angle side (SAS) or side side side (SSS)?
The area of the triangle with a=3, b=4, C=120°? Round to the nearest tenth.
What is 5.2 units²?
2u, if u = <-2,3>.
What is <-4, 6>?
The rectangular form of 3(cos 30° + i sin 30°).
What is 3sqrt(3)/2 + 3/2i?
The type of conic that the following parametric equations make:
x = 1 + 2 sin t
y = 2 + 3 cos t [0, 2π)
What is an ellipse?
Solve the triangle: A=140˚ b=13.2 a=5.4
What is NO SOLUTION?
Side a should be the longest.
The resultant force to the nearest whole number, if two forces, 12N and 7N, are acting at an angle of 70 degrees.
What is 16?
The sum of (-2i+6j) + (4i-j)
What is 2i+5j?
The trigonometric form of wz if w = 8(cos 40° + i sin 40°) and z = 2(cos 10° + i sin 10°)
What is 16(cos 50° + i sin 50°)?
The rectangular equation for the set of parametric equations,
x = 3 sin t
y = 3 cos t for t in [-π, π]
What is x^2 + y^2 = 9?
Solve the triangle with A=98° B=15° c=8. Round to the nearest tenth.
What is C=67°, b=2.2, a=8.6?
The distance between a soccer ball to Logan and Nate on the field are 29 meters and 37 meters, respectively. The distance between the two boys, if the angle between the two lines of sight is 72°. (round to two decimal places)
What is 39.33 meters apart?
The magnitude of <-1,-1>.
What is √2?
Three different polar coordinates for the rectangular coordinates: (-2, -2).
What are (2sqrt(2), 225°), (2sqrt(2),-135°), and (-2sqrt(2), 45°)?
Also could have said (-2sqrt(2), -315°).
The rectangular equation for:
x = t + 2
y = t^2 for t in [-1, 1].
What is y = x^2 - 4x + 4 for x in [1, 3]?
Find A in degrees using the law of cosines and a calculator a=8 b=19 c=14. Round to the nearest tenth.
What is A=22.1°?
The area of a triangle with side lengths a= 4, b=6, c=8. Round to the nearest tenth.
What is 11.6 units²?
The dot product of <-1,4> and <2,-3>.
What is -14?
The four complex fourth roots of -16i expressed in trigonometric form.
What are 2cis 67.5°, 2cis 157.5°, 2cis 247.5°, and 2cis 337.5°?
The parametric equations that model the path of a model rocket that is launched from the ground with a velocity of 48 feet per second at an angle of 60° with respect to the ground.
What is
x = 24t
y = -16t^2 + 24sqrt(3)t?
Solve the triangle: B=140˚ b=10.4 c=7.2. Round to the nearest tenth.
What is : A=13.6˚ C=26.4˚ a=3.8?
The bearing and airspeed required for a plane to fly 630 mi due north in 3 hours if the wind is blowing from a direction of 318° at 15 mph. Round to the nearest whole number for both.
What are a bearing of 357° and an airspeed of 221 mph?
The angle between the vectors <43,0> and <0,19>.
What is 90 degrees?
The rectangular equation for the polar equation: r = 4/(2 sin θ - cos θ )
What is y = 1/2x + 2?
The horizontal distance traveled by the ball in the air when a golf ball is hit with a 45° angle of elevation from the top of a ridge that is 50 feet above an area of level ground with an initial velocity of 88 feet per second or 60 mph. Round to the nearest foot.
What is 285 ft?