Which one of the following equations has no real solutions?
Tick (✓) one box - AQA - A-Level Maths Mechanics - Question 2 - 2020 - Paper 2
Question 2
Which one of the following equations has no real solutions?
Tick (✓) one box.
- cot x = 0
- ln x = 0
- |x + 1| = 0
- sec x = 0
Worked Solution & Example Answer:Which one of the following equations has no real solutions?
Tick (✓) one box - AQA - A-Level Maths Mechanics - Question 2 - 2020 - Paper 2
Step 1
cot x = 0
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Answer
The equation cot x = 0 has real solutions. This occurs when x = (2n + 1)π/2 for any integer n.
Step 2
ln x = 0
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Answer
The equation ln x = 0 has a real solution. This occurs when x = 1.
Step 3
|x + 1| = 0
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Answer
The equation |x + 1| = 0 has a real solution. This occurs when x = -1.
Step 4
sec x = 0
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Answer
The equation sec x = 0 has no real solutions, as sec x is undefined where cos x = 0.
