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If cos(x) = 0, what is the value of x?
If cos(x) = 0, what is the value of x?
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Practice Questions
1 question
Q1
If cos(x) = 0, what is the value of x?
π/2 + nπ
nπ
0
π
Show Solution
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cos(x) = 0 at x = π/2 + nπ, where n is any integer.
Questions & Step-by-step Solutions
1 item
Q
Q: If cos(x) = 0, what is the value of x?
Solution:
cos(x) = 0 at x = π/2 + nπ, where n is any integer.
Steps: 6
Show Steps
Step 1: Understand that cos(x) is a trigonometric function that gives the cosine of an angle x.
Step 2: Know that cos(x) = 0 at specific angles on the unit circle.
Step 3: Identify the angles where the cosine value is zero. These angles are π/2 (90 degrees) and 3π/2 (270 degrees).
Step 4: Recognize that these angles repeat every full rotation (2π radians).
Step 5: Write the general formula for these angles: x = π/2 + nπ, where n is any integer (0, ±1, ±2, ...).
Step 6: Conclude that the value of x can be any angle of the form π/2 + nπ.
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