All trigonometric roots on an interval: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(3 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 5 \pi\).
Find the number of distinct roots in the stated interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(4 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 2 \pi\).
Find the number of distinct roots in the stated interval.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(4 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 2 \pi\).
Find the smallest positive root divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(2 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 3 \pi\).
Find the smallest positive root divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(2 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 3 \pi\).
Find the largest root divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(3 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 4 \pi\).
Find the largest root divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(3 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 4 \pi\).
Find the sum of all roots divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
All trigonometric roots on an interval: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Solve \(\sin{\left(4 x \right)} = 0\) for \(0 \leq x\) and \(x \leq 5 \pi\).
Find the sum of all roots divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.