Alternative means By comparing the first four terms, show that the Maclaurin series for sin2 x can be found

(a) by squaring the Maclaurin series for sin x or

(b) by using the identity .

Solution 67E

Step 1:

We have to find the Maclaurin series for by

(a) by squaring the Maclaurin series for sin x

or

(b) by using the identity

Step 2:

We cannot use the statement (a) here,but we can find it by (b).

We all know that

The first 4 terms of the Maclaurin series for