Finding the Values of (Theta): Solving cos2theta = 1/4

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SUMMARY

The discussion focuses on solving the equation cos(2θ) = 1/4 within the interval 0° ≤ θ ≤ 180°. Participants emphasize the importance of graphing the function to identify the two possible values of θ visually. After sketching the graph, users confirm that a calculator can be utilized to find the precise values of θ, which should be rounded to the nearest integers.

PREREQUISITES
  • Understanding of trigonometric functions, specifically cosine.
  • Familiarity with the double angle formula for cosine.
  • Basic graphing skills for trigonometric functions.
  • Calculator proficiency for solving trigonometric equations.
NEXT STEPS
  • Study the double angle formulas in trigonometry.
  • Learn how to graph trigonometric functions effectively.
  • Practice solving trigonometric equations using calculators.
  • Explore the unit circle and its application in finding angle values.
USEFUL FOR

Students studying trigonometry, educators teaching trigonometric equations, and anyone looking to improve their skills in solving cosine-related problems.

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Homework Statement


Find the values of (theta),in the interval 0degree[tex]\leq(theta)[/tex][tex]\leq180[/tex],for which cos2theta=1/4.Give your answers correct to the nearest integers.

Homework Equations


:s


The Attempt at a Solution


do i just tap them in the calculator or how?
 
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I would start by sketching a graph of the function first. You should be able to see that there are two possible values of theta. Then sure, use your calculator to find them.
 

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