Q14 of 153 Page 13

If find (a, b).

Given:

⇒

We know that i²=-1

⇒

⇒ (-i)¹⁰⁰=a+ib

⇒ i¹⁰⁰=a+ib

⇒ (i²)⁵⁰=a+ib

⇒ (-1)⁵⁰=a+ib

⇒ 1=a+ib

Equating Real and Imaginary parts on both sides we get

⇒ a=1 and b=0

∴ The values of a and b are 1 and 0.

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