Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{24}{25}\), \(\displaystyle \cos\theta=\frac{7}{25}\). Work exactly.

Find sin(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{5}{13}\), \(\displaystyle \cos\theta=\frac{12}{13}\). Work exactly.

Find sin(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{5}{13}\), \(\displaystyle \cos\theta=\frac{12}{13}\). Work exactly.

Find cos(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{3}{5}\), \(\displaystyle \cos\theta=\frac{4}{5}\). Work exactly.

Find cos(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{3}{5}\), \(\displaystyle \cos\theta=\frac{4}{5}\). Work exactly.

Find tan(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{21}{29}\), \(\displaystyle \cos\theta=\frac{20}{29}\). Work exactly.

Find tan(2θ).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{21}{29}\), \(\displaystyle \cos\theta=\frac{20}{29}\). Work exactly.

Find \(\displaystyle \frac{1- \cos (2\theta )}{\sin (2\theta )}\).

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

Maths4U Original · Short practice

θ is acute with \(\displaystyle \sin\theta=\frac{16}{65}\), \(\displaystyle \cos\theta=\frac{63}{65}\). Work exactly.

Find \(\displaystyle \frac{1- \cos (2\theta )}{\sin (2\theta )}\).

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