1) Plain figure consisting of two rays having the same endpoints. a) Angle  b) Line segment c) Sides d) Vertex 2) It refers to a circle whose radius is equivalent to 1 unit. a) Central Angle b) Circular Function c) Concentric Circle d) Unit Circle 3) Convert 8𝜋/5 into degree measure a) 258° b) 268° c) 278° d) 288° 4) Convert 900° to radian. a) 3𝜋 b) 4𝜋 c) 5𝜋 d) 6𝜋 5) Two or more angles in standard position having the same terminal side but differ in number of rotations. a) Coterminal angle b) Inscribed angle c) Quadrantal angle d) Reference angle 6) Find the angle coterminal −225° that has a measure between 0° 𝑎𝑛𝑑 360°. a) 135° b) 125° c) 115° d) 105° 7) Which of the following functions involves the abscissa or the x-values in the wrapping function in the unit circle that is assigned to each real number to a point. a) Cosecant function b) Cosine function c) Sine function d) Tangent function 8) If 𝑃(𝜃) is a point on the unit circle and 𝜃= 𝜋/6, what are the coordinates of 𝑃(𝜋/6) ? a) (−√3/2,−1/2) b) (−√3/2,1/2) c) (√3/2,−1/2) d) (√3/2,1/2) 9) Another name for circular functions a) Exponential function b) Logarithmic function c) Quadratic functions d) Trigonometric functions 10) What is the reference angle of 460°? a) 10° b) 80° c) 90° d) 100° 11) Which of the following is the reference angle of 11𝜋/6? a) 2𝜋 b) 2𝜋/5 c) 𝜋/5 d) 𝜋/6 12) What is the domain of the function 𝑦=(−5)/2 𝑠𝑖𝑛3𝑥? a) {𝑥∈𝑅} b) −5/2 c) [−5/2,3] d) (−5/2,3) 13) How many units the graph 𝑦=3 sin⁡〖( 𝑥+ 𝜋/2 )〗, shifted compared to 𝑦=3 sin⁡〖𝑥 ?〗 a) 𝜋/2 𝑎𝑏𝑜𝑣𝑒 b) 𝜋/2 𝑏𝑒𝑙𝑜𝑤 c) 𝜋/2 𝑡𝑜 𝑡ℎ𝑒 𝑙𝑒𝑓𝑡 d) 𝜋/2 𝑡𝑜 𝑡ℎ𝑒 𝑟𝑖𝑔ℎ𝑡 14) The distance that one graph must be shifted to the right or to the left. a) Amplitude  b) Period c) Phase shift d) Vertical shift 15) What is the trigonometric function of the given graph? a) 𝑦=3𝑠𝑖𝑛3𝑥 b) 𝑦=2𝑠𝑖𝑛3𝑥 c) 𝑦=2𝑠𝑖𝑛𝑥 d) 𝑦=1/2 𝑠𝑖𝑛3𝑥 16) What is the period of the given graph? a) 3𝜋 b) 2𝜋 c) 𝜋 d) 0 17) The asymptote of the graph…  a) 𝑥=𝜋,3𝜋,… b) 𝑥=0,𝜋,3𝜋,… c) 𝑥=0,3𝜋,… d) 𝑥=𝜋,2𝜋,3𝜋, 18) The trigonometric functions of the graph a) 𝑦=tan⁡(1/3 𝑥) b) 𝑦=cot⁡(1/3 𝑥) c) 𝑦=1/3 𝑡𝑎𝑛𝑥 d) 𝑦=1/4 tan⁡(1/3 𝑥) 19) Given 𝑦=3 tan⁡(1/6)𝑥, what is the period? a) 𝜋/6 b) 6 c) 𝜋 d) 6𝜋 20) What is the period of  𝑦=4 〖csc 3 〗⁡〖( 𝑥− 𝜋/3 )+1〗? a) 𝜋/3 b) 2𝜋/3 c) 4𝜋/3 d) 5𝜋/3 21) What is the period of 𝑦=2 〖csc 〗⁡〖1/2 𝑥〗? a) 𝜋 b) 2𝜋 c) 3𝜋 d) 4𝜋 22) If 𝑃(𝜃) lies on the segment joining the origin and point (7,-24), what is the value of cos⁡(𝜃)? a) 7/24 b) 24/25 c) 7/25 d) 25/7 23) If P ((−3)/5, 𝑦) is a point in a unit circle on the third quadrant, what is the value of 𝑦? a) 4/5 b) −4/5 c) 5/4 d) −5/4 24) Which of the following equations is/are conditional? a) i only b) i and ii only c) i and iii only d) ii, iii, and iv 25) Which of the following equations is/are identity? a) i only b) i and ii only c) i and iii only d) ii, iii, and iv 26) Simplify the expression 1/tan^2⁡𝑥 . a) cot^2⁡𝑥 b) cos^2⁡𝑥 c) csc^2⁡𝑥 d) sin^2⁡𝑥 27) Using the fundamental identities, simplify the expression sin^2⁡𝑥/cos^2⁡𝑥 a) co𝑠^2⁡𝑥 b) co𝑡^2⁡𝑥 c) si𝑛^2⁡𝑥 d) tan^2⁡𝑥 28) Let 𝐴=12𝑥 and 𝐵=3𝑥, evaluate using cosine difference identity. a) 𝑐𝑜𝑠3𝑥 b) 𝑐𝑜𝑠9𝑥 c) 𝑐𝑜𝑠12𝑥 d) 𝑐𝑜𝑠15𝑥 29) Consider the value of 𝑠𝑖𝑛𝜃=4/5 and 𝜃 is not in the first quadrant. Find 𝑐𝑜𝑠𝜃? a) −4/3 b) −3/5 c) −4/5 d) 4/3 30) Consider the value of 𝑠𝑖𝑛𝜃=4/5 and 𝜃 is not in the first quadrant. Find 𝑐𝑜t𝜃? a) −4/3 b) −5/3 c) −4/5 d) -3/4 31) Evaluate the inverse of cos⁡0. a) −𝜋/4 b) 0 c) 1 d) 𝜋/2 32) Which of the following is NOT a solution to 2𝑐𝑜𝑠𝑥−1=0? a) 𝑥=5𝜋/3 b) 𝑥=𝜋/3 c) 𝑥=11𝜋/6 d) 𝑥=7𝜋/3 33) A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. What is the length of the wire? a) 22 ft b) 23 ft c) 24 ft d) 25 ft 34) A wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15 feet from the pole. Determine the angle it makes with the pole. a) 36.87° b) 37.87° c) 50.13° d) 53.13 35) The Ferris wheel in front of Pasig City Hall is one of the most popular spots during Christmas season. The height of a rider in meters on that Ferris wheel can be determined by the equation ℎ(𝑡)=−57.5 cos⁡(𝜋/15 𝑡)+59.5. How high is the person at the start of the ride (𝑡=0)? a) 4 meters b) 3 meters c) 2 meters d) 1 meter

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