Evaluate the following
$(0.98)^{2}$

0.9664

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0.9604

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0.9864

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0.9964

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Solution

The correct option is B $0.9604$
The given square $(0.98)^{2}$ can be evaluated as shown below:

${(0.98)}^{2} = (1 - 0.02)^{2} = 1^{2} + (0.02)^{2} - (2 \times 1 \times 0.02) (∵ (a - b)^{2} = a^{2} + b^{2} - 2 a b) = 1 + 0.0004 - 0.04 = 1.0004 - 0.04 = 0.9604$

Hence, ${(0.98)}^{2} = 0.9604$

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θ

cos θ = 0.9664

$(1.02)^{2} - (0.98)^{2} =$

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