Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(2 x \right)} - \sin{\left(2 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the smallest solution divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(3 x \right)} - \sin{\left(3 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the smallest solution divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(3 x \right)} - \sin{\left(3 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the largest solution divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(4 x \right)} - \sin{\left(4 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the largest solution divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(4 x \right)} - \sin{\left(4 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the number of distinct solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(x \right)} - \sin{\left(x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find the number of distinct solutions.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(x \right)} - \sin{\left(x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find their sum divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Maths4U Original · Short practice

Solve \(2 \sin^{2}{\left(2 x \right)} - \sin{\left(2 x \right)} - 1 = 0\) on \(\left[0, 2 \pi\right]\). Angles are radians.

Find their sum divided by π.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.