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(a) Determine all solutions for the following equation. [Hint: Isolate the trigonometric function on its own.]

$4+2\sin(\theta) = 4+$ ( $-\sqrt{2}$ )

Solutions with base angle in quadrant III: $\theta =$ + $n$
or
Solutions with base angle in quadrant IV: $\theta =$ + $n$

where $n$ is any integer, and both base angles are between $0$ and $2\pi$ .

Use radian measure and enter your answers using at least four significant digits.

(b) Determine all solutions for

$1$ $+\sec(\theta) =$ $-1$

Solutions with base angle in quadrant II: $\theta =$ + $n$
or
Solutions with base angle in quadrant III: $\theta =$ + $n$

where $n$ is any integer, and both base angles are between $0$ and $2\pi$ .

Use radian measure and enter your answers using at least four significant digits.