Law of Cosines problems
Law of Cosines word problem example
Two sides of a parallelogram are 9 and 15 units in length. The length of the shorter diagonal of the parallelogram is 14 units. Find the length of the long diagonal.
Solution to this Law of Cosines word practice problem is provided in the video below!
HARD Law of Cosines word problem
A new car leaves an auto transport trailer for a test drive in the flat surface desert in the direction N47ºW at constant speed of 65 miles per hour. The trailer proceeds at constant rate of 50 miles per hour due East. If the car has enough fuel for exactly 3 hours of riding at constant speed, what is the maximum distance in the same direction that the car can cover in order to safely return to the trailer?
Solution to this Law of Cosines word practice problem is provided in the video below!
Law of Sines problems
Law of Sines word problem example
A radio antenna is attached to the top of the building. From a point 12.5 meters from the base of the building, on level ground, the angle of elevation of the bottom of the antenna is 47.2 degrees and the angle of elevation of the top is 51.8 degrees. Find the height of the antenna.
Solution to this Law of Sines word practice problem is provided in the video below!
Law of Sines Triangle Area PROOF problem
Show that for any triangle the area is one-half the product of any two sides and sine of the angle formed between these sides. That is,
Solution to this Law of Sines Triangle Area PROOF practice problem is provided in the video below!
Inverse Trigonometric Functions problems
Hard Inverse Trigonometric Expression Value example question
Evaluate the following Trigonometric Expression:
Solution to this Inverse Trigonometric Expression Value practice problem is provided in the video below!
Rectangle Word Problem with ArcTangent example
A rectangle is 173 meters long and 106 meters high. Find the angle between diagonal and the longer side.
Solution to this Inverse Trigonometric Function word practice problem is provided in the video below!
Trigonometric Equations with Angle Sum, Difference, Multiple, Half-Angle Formulas problems
Trigonometric Equation Double-Angle and Product-To-Sum example
Solve the following Trigonometric Equations using Double-Angle and Product-To-Sum formulas:
sin2θ – sinθ = 0
cosx + cos3x = cos2x
Solution to this Trigonometric Equation Double-Angle Product-To-Sum practice problem is provided in the video below!
Trigonometric Angle Sum, Difference, Multiple, Half-Angle Formulas problems
Trigonometric Angle Sum and Difference example question
Find the value of the following Trigonometric Expressions using Angle Sum or Difference formulas:
cos(105º)
Solution to this Trigonometric Angle Sum Difference practice problem is provided in the video below!
Trigonometric Equations problems
Solution to Trigonometric Equation example question
Solve the following Trigonometric Equations:
tan(3t) = 1
2cos2u = cosu
ln(sinx) = 0
Solution to this Trigonometric Equations practice problem is provided in the video below!
Conversion of Radians, Degrees, Minutes, and Seconds problems
Radian Degree Minute Second Transformation example question
a) Convert the following angle measure given in Radians into Degrees, Minutes and Seconds:
5 Radians
b) Convert the following angle measure in Degrees, Minute and Seconds into Radians:
424o34‘ 24”
Solution to this Angle Measure Radian Degree Minutes Seconds Conversion practice problem is provided in the video below!
Recent Comments