Modulus trigonometric graphs · Short practice

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Recall

Modulus of a trigonometric graph — objective 1

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.

Fresh review variant

Modulus of a trigonometric graph — objective 1

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.

Method

Modulus of a trigonometric graph — objective 2

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.

Fresh review variant

Modulus of a trigonometric graph — objective 2

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.

Apply

Modulus of a trigonometric graph — objective 3

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.

Fresh review variant

Modulus of a trigonometric graph — objective 3

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.

Check understanding

Modulus of a trigonometric graph — objective 4

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.

Fresh review variant

Modulus of a trigonometric graph — objective 4

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.

Try written exam-style problems →