Modulus trigonometric graphs: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 4 \left|{\sin{\left(x \right)}}\right| + 19\), with x in radians.
Find the maximum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 5 \left|{\sin{\left(2 x \right)}}\right| + 20\), with x in radians.
Find the maximum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 5 \left|{\sin{\left(2 x \right)}}\right| + 20\), with x in radians.
Find the minimum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 2 \left|{\sin{\left(3 x \right)}}\right| + 21\), with x in radians.
Find the minimum value.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 2 \left|{\sin{\left(3 x \right)}}\right| + 21\), with x in radians.
Find the period divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 3 \left|{\sin{\left(x \right)}}\right| + 22\), with x in radians.
Find the period divided by π.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 3 \left|{\sin{\left(x \right)}}\right| + 22\), with x in radians.
How many minima occur on \(\displaystyle 0\le x\le \pi\), including endpoints?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Modulus trigonometric graphs: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(y = 4 \left|{\sin{\left(2 x \right)}}\right| + 23\), with x in radians.
How many minima occur on \(\displaystyle 0\le x\le \pi\), including endpoints?
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.