LA CONSOLACION COLLEGE BACOLOD
GRADUATE SCHOOL
TRIGONOMETRY FINAL EXAM
AY 2018-2019, 2nd sem
I. General Instructions:
a. Write the answer on a separate sheet.
b. Submit your answer not later 12 midnight today-March 30, 2019
c. Each item is worth 10 points.
1. Angle Ѳ is an angle in standard position, and the point P is on the terminal side. Use the
definition to find for the six trigonometric functions of Ѳ.
a. P (3,4)
b. P (-12, -5)
c. P (6, -8)
2. A navigator on a ship sailing on a course of 338◦ at 12 knots (natuical miles per hour) observes a
lighthouse is due east of the ship. How far is the lighthouse from the ship at that time?
3. Graph in two (2) cycles: y = 4 + 5 sin 2/3 x
4. Prove the identity:
a. (1- tan α )3 = cot α -1 (sec2α – 2 tan α)
________
cotα
5. Sin x = 1- cos x
_____ ______
1+cos x sin x
Good luck and God bless!
