Pre-Calculus 1st Semester Exam Review 1. What is the reference angle for 195°? 15° 2. Name an angle that is coterminal to 35°.

395° 3. Convert 74 to radians.

3790π

4. Convert π25.1 radians to degrees.

225° 5. What is the angle in Quadrant II that has a reference angle of 65 ? 115° 6. Simplify: (tan x)(csc x)(sec x)

21

cos x or 2sec x

7. On a Ferris wheel, you travel through a central angle of 6

57π before

stopping. If the radius of the Ferris wheel is 27 feet, how many feet have you traveled?

805.82 ft. 8. What are the values of sin θ and cos θ for the acute angleθ in standard

position if tan θ = 7

3 ? sin θ = 34

and cos θ = 74

9. What is the rule of a function g whose graph is the graph of f(x) = cos x stretched vertically by a factor of 4 and shifted 2 units down and right 1 unit?

g(x) = 4 cos(x – 1) – 2

10. What is the amplitude and period of f(x) = -5sin(7 π x)?

Amplitude: 5; Period: 27

11. Find a function for the graph below.

Pre-Calculus 1st Semester Exam Review

y = 3 sin(2π x) + 2

12. Solve 3sin(x) +2= 2.5 for 0° ≤ x < 360°.

x = 9.59° x = 170.41° 13. Solve 2cos(x +10°) = 1.5 for 0° ≤ x < 360°. x = 31.41° x = 308.59° 14. Find the tanθ if (3, -7) is a point on the terminal side of θ.

7tan3−

θ =

15. A vector has a magnitude of 5.1 cm and amplitude of 60°. Find the magnitude of its horizontal component. x = 2.55 cm

16. If AB is a vector from A (4, -3) to B (-1, -1) find the magnitude of AB .

Magnitude = 29 ≈5.39 17. y = -2x + 18 18. y = 359x + 4328 19.) x ≈ 2.1797 20.) x ≈ .6664 21.) x = 64 22.) x = 548.8

Pre-Calculus 1st Semester Exam Review

23) ln 𝒙𝒙𝟑𝟑𝒚𝒚𝟒𝟒

𝒛𝒛𝟒𝟒

24) the second two are equal 25.) t = 28.881 years 26.) y = 25(1.127)t 27.) t = 11.552 hours 28.) C = 480(.937)t 29.) P = 95t + 1300 30.) 163 animals 31.) Exponential; f(x) = 1024(0.5)x 32.) P(t) = 100000e0.028t 33.) $141,603.20 34.) ≈388,548 people 35.) EAY = 4.5765% 36.) t = 40.425 years 37.) x = 4096

Pre-Calculus 1st Semester Exam Review