Question
Download Solution PDFGiven x = cos(θ), the equation x² - 3x + 2 = 0, find the value of θ.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x = cos(θ)
The equation: x² - 3x + 2 = 0
Calculation:
Factor the quadratic equation:
(x - 1)(x - 2) = 0
So, x = 1 or x = 2
Now, since x = cos(θ):
For x = 1: cos(θ) = 1 ⇒ θ = 0° (or 0 radians)
For x = 2: cos(θ) = 2 ⇒ This is not possible because cosine values are between -1 and 1.
∴ The only valid solution is θ = 0° (or 0 radians).
Answer: B) 0
Last updated on Jun 30, 2025
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