Trigonometry: connected skills: check 1
Difficulty: ★★☆Maths4U Original · Short practice
θ is in quadrant 2. Its acute reference triangle has opposite side 8, adjacent side 15 and hypotenuse 17.
Find sin θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Trigonometry: connected skills: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
θ is in quadrant 3. Its acute reference triangle has opposite side 20, adjacent side 21 and hypotenuse 29.
Find sin θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Trigonometry: connected skills: check 2
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\sin{\left(3 x \right)} = 0\) 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.
Trigonometry: connected skills: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
Solve \(\sin{\left(4 x \right)} = 0\) 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.
Trigonometry: connected skills: check 3
Difficulty: ★★☆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 number of distinct solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Trigonometry: connected skills: review variant 3
Difficulty: ★★☆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 number of distinct solutions.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Trigonometry: connected skills: check 4
Difficulty: ★★☆Maths4U Original · Short practice
θ is acute with \(\sin\theta=\frac{7}{25}\), \(\cos\theta=\frac{24}{25}\). Work exactly.
Find (1−cos(2θ))/sin(2θ).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Trigonometry: connected skills: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
θ is acute with \(\sin\theta=\frac{8}{17}\), \(\cos\theta=\frac{15}{17}\). Work exactly.
Find (1−cos(2θ))/sin(2θ).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.