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Precalculus Unit 3 Exam‐ Trigonometry CALCULATORS AND STUDY GUIDES ALLOWED Draw 4 radians on a unit circle in standard position Convert 200ᶛ to radians (exact answer) Find the arc length of a circle given r = 8 in and θ = . Give answer to the nearest tenth of an inch. (Draw the arc) Convert radians to degrees Jose got on a Ferris wheel at ground level (h=0). The wheel completes one rotation every 6 minutes and the wheel has a radius of 30 feet. Sketch a graph showing his height as a function of time for 20 minutes (include labels). Write the function that will model the situation. h(t)= A tire on a bike has a diameter of 26 inches. If the tire completes two rotations every second, how many miles per hour is it travelling? (1 mi= 5280 ft) Given sin (θ) = and θ is in quadrant II, find the remaining If (4,‐3) is a point on the terminal side of a in standard position, evaluate all six trigonometric functions in six trig ratios simplest radical form. sin (θ) = csc(θ) = sin (θ) = csc(θ) = cos (θ) = sec (θ) = cos (θ) = sec (θ) = tan (θ) = cot (θ) = tan (θ) = cot (θ) = Solve 0 ≤ x< 2π to the nearest hundredth of a radian Solve for 0ᶛ ≤ θ<360ᶛ 3cos(x)+2=1 sin2 (θ)‐1 = 0 Precalculus Unit 3 Exam‐ Trigonometry CALCULATORS AND STUDY GUIDES ALLOWED State the measure of three other angles that are coterminal to Solve 0 ≤ x< 2π Exact Answers (no decimals) 25ᶛ, at least one of which must be negative 2cos2 (θ)‐cos(θ) = 0 Evaluate Evaluate ‐1
sin(cos (
) sin‐1(sin( )) Write the equation of a sinusoidal function that would pass through the following points x 3 5 7 9 11 13 f(x) 5 8 5 2 5 8 Find tan( ) (Exact answer) Find sec(110ᶛ) to the nearest hundredth (Calc needed) Precalculus Unit 3 Exam‐ Trigonometry NO CALCULATOR/NO STUDY GUIDES ALLOWED Graph y= 2sin(x)‐1 Graph y = 3cos(2x) Graph y = tan(x) Sketch the graph of y = ‐sin(x ‐ ) Graph y = csc(x) Sketch y = sin‐1(x) . Provide your own axis Evaluate without calculator or study guides. Exact Answers and radian answers for inverse trig cos(150ᶛ)= tan(180ᶛ)= sin(‐45ᶛ)= sin(90ᶛ) = cos(π)= sec( )= tan( )= cos(‐ ) √
sin‐1(‐1) = cot( ) = csc( ) cos‐1( ) Precalculus Unit 3 Exam‐ Trigonometry