Question
cosθ = 9/16
Answers
GPT 3.5
To find the value of cosθ when cosθ = 9/16, you can use the inverse cosine function, also known as arccos. By taking the arccos of both sides of the equation, you can determine the value of θ.
cosθ = 9/16
Taking the arccos of both sides:
arccos(cosθ) = arccos(9/16)
Since the arccos function and the cos function are inverse functions, they cancel each other out on the left side, leaving:
θ = arccos(9/16)
Using a calculator or trigonometric table, you can find the approximate value of arccos(9/16) which is approximately 39.23 degrees. Therefore, θ is approximately 39.23 degrees.
cosθ = 9/16
Taking the arccos of both sides:
arccos(cosθ) = arccos(9/16)
Since the arccos function and the cos function are inverse functions, they cancel each other out on the left side, leaving:
θ = arccos(9/16)
Using a calculator or trigonometric table, you can find the approximate value of arccos(9/16) which is approximately 39.23 degrees. Therefore, θ is approximately 39.23 degrees.