Exact trigonometric ratios: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 15, opposite side 8 and hypotenuse 17 relative to an acute angle θ. Work exactly.
Find sin θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 21, opposite side 20 and hypotenuse 29 relative to an acute angle θ. Work exactly.
Find sin θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 21, opposite side 20 and hypotenuse 29 relative to an acute angle θ. Work exactly.
Find cos θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 27, opposite side 36 and hypotenuse 45 relative to an acute angle θ. Work exactly.
Find cos θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 27, opposite side 36 and hypotenuse 45 relative to an acute angle θ. Work exactly.
Find tan θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 48, opposite side 14 and hypotenuse 50 relative to an acute angle θ. Work exactly.
Find tan θ.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 48, opposite side 14 and hypotenuse 50 relative to an acute angle θ. Work exactly.
Find \(\displaystyle \sec ^{2}\theta\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Exact trigonometric ratios: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A right triangle has adjacent side 60, opposite side 32 and hypotenuse 68 relative to an acute angle θ. Work exactly.
Find \(\displaystyle \sec ^{2}\theta\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.