Find all to satisfy the equations in each of the following parts.
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.
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.
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.
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We use the result of the previous exercise (Section 2.8, Exercise 1), and the fundamental properties of the sine and cosine given in section 2.5-2.7 of Apostol in the following.
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, using fundamental property 2 (
), and the
-periodicity of sine.
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, using Theorem 2.3, part (d) (Apostol, Section 2.5).
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using part (a). So,
.
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using fundamental property 2 (
) and the
-periodicity of the cosine function.