Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

100 POINTS!!!!!!!
Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π?


Part B: What are the exact values of all six trigonometric functions evaluated at θ?

100 POINTS Part A What Is A Coterminal Angle Of Θ Such That 0 Θ 2π Part B What Are The Exact Values Of All Six Trigonometric Functions Evaluated At Θ class=

Sagot :

sqdancefan

Answer:

  A.  coterminal angle = 4π/3

  B.  sin(θ) = -√3/2; csc(θ) = -2√3/3; cos(θ) = -1/2;

       sec(θ) = -2; tan(θ) = √3; cot(θ) = √3/3

Step-by-step explanation:

A.

Any angle that is a multiple of 2π added to the given angle will be coterminal. You want one in the range [0, 2π], so we need to add 4π to the given angle

  coterminal angle = -8π/3 +4π = -8π/3 +12π/3

  coterminal angle = 4π/3

__

B.

The reference angle is 4π/3 -π = π/3. θ is a quadrant III angle, so both the sine and cosine are negative.

  sin(θ) = -√3/2 . . . csc(θ) = -2√3/3

  cos(θ) = -1/2 . . . sec(θ) = -2

  tan(θ) = √3 . . . cot(θ) = √3/3

View image sqdancefan
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.