# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2010 | May-Jun | (P2-9709/23) | Q#4

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** Question**

**a. **Show that

**b. **By using an appropriate trigonometrical identity, find the exact value of

**Solution**

**a. **

We are required to show that;

Rule for integration of is:

**b. **

We are required to find exact value of;

We know that , therefore;

Hence;

Rule for integration of is:

Rule for integration of is:

Rule for integration of is:

Since ;

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