Double-angle identities and exact values: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
θ is acute with \(\displaystyle \sin\theta=\frac{8}{17}\), \(\displaystyle \cos\theta=\frac{15}{17}\). Work exactly.
Find sin(2θ).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: review variant 1
Difficulty: ★★☆Info
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 number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
θ is acute with \(\displaystyle \sin\theta=\frac{24}{25}\), \(\displaystyle \cos\theta=\frac{7}{25}\). Work exactly.
Find cos(2θ).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: review variant 2
Difficulty: ★★☆Info
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 number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
θ is acute with \(\displaystyle \sin\theta=\frac{5}{13}\), \(\displaystyle \cos\theta=\frac{12}{13}\). Work exactly.
Find tan(2θ).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: review variant 3
Difficulty: ★★☆Info
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 number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
θ is acute with \(\displaystyle \sin\theta=\frac{3}{5}\), \(\displaystyle \cos\theta=\frac{4}{5}\). Work exactly.
Find \(\displaystyle \frac{1- \cos (2\theta )}{\sin (2\theta )}\).
Enter one number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.
Double-angle identities and exact values: review variant 4
Difficulty: ★★☆Info
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 number or fraction. Keep exact values during your working; use at least six decimal places for an approximate final answer. A calculator may be used.