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If cos(x) = 0, what are the possible values of x?
If cos(x) = 0, what are the possible values of x?
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Practice Questions
1 question
Q1
If cos(x) = 0, what are the possible values of x?
90° + k*180°
k*90°
k*180°
0° + k*360°
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cos(x) = 0 at x = 90° + k*180°, where k is any integer.
Questions & Step-by-step Solutions
1 item
Q
Q: If cos(x) = 0, what are the possible values of x?
Solution:
cos(x) = 0 at x = 90° + k*180°, where k is any integer.
Steps: 8
Show Steps
Step 1: Understand that cos(x) represents the cosine of an angle x.
Step 2: Recall that the cosine function equals 0 at specific angles.
Step 3: Identify the first angle where cos(x) = 0, which is 90°.
Step 4: Recognize that the cosine function is periodic, meaning it repeats its values.
Step 5: Determine the period of the cosine function, which is 360°.
Step 6: Since cos(x) = 0 at 90°, the next occurrence is 90° + 180° = 270°.
Step 7: Generalize the solution by adding multiples of the period (180°) to 90°.
Step 8: Write the general formula: x = 90° + k*180°, where k is any integer (0, ±1, ±2, ...).
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