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Question

Find the value of sin2π8 + sin2π4


A

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B

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C

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D

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Solution

The correct option is B


We know sin2π4 = sin245 = (12)2 = 12 but, we don't know the value of sin2π8.

Using the formula cos2x = 1 - 2 sin2x

sin2θ = (1cos2θ2)

sin2π8 = 1cosπ42 = 1122 = 2122

sin2π8 + sin2π8

= 12 - 122 + 12 = 1 - 122


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