University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2020
Views:

99

Pages:

3
Author:

Angelica Rose

Honors Midterm Review Answers For #1-2, all angles are sketched starting on the positive x-axis. If it is a positive angle, go up. If it is a negative angle, go down. To find coterminal angles, either add or subtract 360. To find reference angles, connect the angle to the closest yaxis. 1. A 640 degree angle would lie in quad. 4. Coterminal angle would be 280 degrees. Reference angle would be 80 degrees. 2. A -45 degree angle would lie in quad. 4. Coterminal angle would be 315 degrees. Reference angle would be 45 degrees. 3. Interval notation: [6, infinity) 4. Interval notation: (-infinity, 0) 5. The third angle would need to be 78.2 degrees b/c all the angles must add to 180 degrees. 6. x = 3, y = 6, Pythagorean thm gives us that r = 3√5 Sin = 2√5/5 Csc = √ 5/2 Cos = √5/5 Sec = √5 Tan= 2 Cot = ½ 7. For all of these trig functions, I used “sohcahtoa”. I used Pythagorean thm to find missing side c. Sin A = 20/29 Csc A = 29/20 Cos A = 21/29 Sec A = 29/21 Tan A = 20/21 Cot A = 21/20 For #8 – 13, make sure the calculator is in degree mode! The problem or the directions will have a degree symbol somewhere to tell you that! 8. 0.3665 9. 0.8171 10. Csc 27.7031 = 1/Sin27.7031 = 2.1510 11. 72.4 12. 17.2 13. 87.999 14. I did Pythagorean them first to find missing side c. c = 488.9 feet Then, I used tangent (sohcahTOA) to find the two missing angles to be 26.06 and 63.94. 15. Knots x hours = distance … answer: 47.43 16. Angle of elevation: at the bottom, looking up Angle of depression: at the top, looking down Tan x = 141/101 2nd tan (141/101) = 54.38 For #17-20, multiply by pi/180 and reduce. 17. 3pi/10 18. 7pi/4 19. 5pi/4 20. 3pi For #21-22, multiply by 180/pi. 21. 300 degrees 22. -51.4 degrees For #23-24, make sure the angle theta is in radians, not degrees. 23. A =1/2 r2theta =36.76 cm2 24. S = r theta = 4.9938 cm For #25-28, make sure your calculator is in radian mode. (You don’t see degrees symbols anywhere in the problem or directions!) 25. 0.097 26. -0.720 27. Cot 1.5731 = 1/tan 1.5731 = -0.002 28. Cos = 1/5.7682904 = 1.397 Don’t forget to also practice the specified pages and numbers on the study guide! Also Try: Get in terms of sine and cosine, and simplify. tan x (cos x – csc x)