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Midterm Exam Questions and Solutions, Exams of Mathematics

California Polytechnic State University (Cal Poly) - San Luis ObispoMathematics
Prof. Lukas Dakhlia

2023 Fall Quarter Midterm Exam in MATH 119 Precacl Trig at Cal Poly SLO.

Typology: Exams

2022/2023

Uploaded on 12/06/2023

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MATH 119-02: Midterm 1
Instructor: Lukas Dakhlia
Fall 2023
The midterm consists of 5 questions and is worth 100 points. Show all work for full credit on solutions.
No calculators or notes are allowed.
1. (20 points) Evaluate the following:
(a) (5 points) sec(13⇡
6)
(b) (5 points) cot(3⇡
2)
(c) (5 points) cos1(p3
2)
(d) (5 points) tan1(1)
1
pf3
pf4
pf5

Partial preview of the text

Download Midterm Exam Questions and Solutions and more Exams Mathematics in PDF only on Docsity!

MATH 119-02: Midterm 1

Instructor: Lukas Dakhlia

Fall 2023

The midterm consists of 5 questions and is worth 100 points. Show all work for full credit on solutions. No calculators or notes are allowed.

  1. (20 points) Evaluate the following: (a) (5 points) sec( ^136 ⇡) (b) (5 points) cot( 32 ⇡ ) (c) (5 points) cos^1 ( p 3 2 ) (d) (5 points) tan^1 (1) 1
  1. (20 points) Sketch a graph of y = tan(2x + ⇡ 3 )
  1. (20 points) Solve the triangle using Law of Sines or Law of Cosines
  1. (20 points) A pilot of a passenger aircraft takes o↵ and heads due east at 400mph. After half an hour, the pilot realizes that he forgot to board the passengers before leaving and hastily seeks to return to the airport. Unfortunately, his copilot decided that this is was a fantastic time to cut up 45 onions in the cabin. Unable to see the bearing navigation due to the onions, the pilot instead travels N 30^ W for 1 hour before realizing that he is completely lost. Using the Law of Sines or Law of Cosines, how far away is the pilot from the original destination?