Answer 4.3:4

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a) \displaystyle 1-b^2 b) \displaystyle \sqrt{1-b^2}
c) \displaystyle 2b\sqrt{1-b^2} d) \displaystyle 2b^2-1
e) \displaystyle \sqrt{1-b^2}\cdot\displaystyle \frac{1}{\sqrt{2}} + b\cdot \displaystyle \frac{1}{\sqrt{2}} f) \displaystyle b\cdot\displaystyle \frac{1}{2}+\sqrt{1-b^2}\cdot\displaystyle \frac{\sqrt{3}}{2}