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PRE-CALCULUS WS 222 NAME _______________________________ PERIOD ______ DATE __________________ WRITE THE WORD TRUE OR FALSE IN EACH BLANK. IF IT IS FALSE, CORRECT THE STATEMENT TO MAKE IT A TRUE ONE. True 1) The sine ratio of any angle will never be greater than one. True False 2) The point (1,0) on the unit circle corresponds to = 0. 3) If P = (x, y) is a point on the unit circle and is the corresponding angle then cos = y. True False 4) sin =y 90 is a quadrantal angle. 5) The terminal side of angle 410 is in quadrant III. FILL-IN THE BLANK WITH THE CORRECT MATHEMATICAL TERM. 6) 60 and 420 are known as co-terminal angles since their terminal sides are the same. 7) A/an degree is 1/360 of a circle. It is the measurement of an angle created by the Babylonians. 8) The circumference of a circle is found by the formula C = 2r . A/an radian is the measurement of a central angle whose intercepted arc is the length of the radius of the circle. 10) Trigonometry is the branch of mathematics that deals with the ratios between the sides of a right triangle with reference to either acute angle, the relations between these ratios, and the application of these facts in finding the unknown sides or angles of any triangle, as in surveying, navigation, engineering, etc. WITHOUT A CALCULATOR. PLEASE STATE THE VALUE OF THE FOLLOWING: (PLEASE CHECK YOUR WORK WITH A CALCULATOR!) 11) cos 45 12) sin 30 13) sin 90 9) 1 2 2 2 14) cos 60 15) 1 2 17) 1 tan 45 16) 1 log232 5 18) log3(1/81) -4 cos 270 0 19) ln 1 0 Using the graph at the right, please answer the following questions: 20) Period: 4 units y=1 Amplitude: 2.5 units 21) Midline: 22) Using the graph at the right, please answer the following questions: 23) Period: 2 units y = -3.5 Amplitude: 1.5 units 24) Midline: 25) 26) Sketch 331 in standard position 27) 28) angle 315 intersects with the unit circle. F 2 , 2 I GH 2 2 JK Given a circle with a radius of 9 inches, find the coordinates of the point where angle 356 intersects with the circle. Round answers to the nearest hundredth. (8.98, -0.63) 29) 30) What is the reference angle for -287? 73 What angle has the point of intersection of (0, -1) with a unit circle? 270 31) -210 32) II 34) 500 II 5.1 radians 33) 2 radians 7 IV 35) radians 2 POSITIVE Y-AXIS I