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Problem 1

In Exercises 1-12, find the exact value of each expression. Give the answer in radians. $$ \arccos \left(\frac{\sqrt{2}}{2}\right) $$

Problem 1

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sin x=\cos x $$

Problem 1

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \cos \theta=-\frac{\sqrt{2}}{2}, 0 \leq \theta<2 \pi $$

Problem 2

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sin x=-\cos x $$

Problem 2

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \sin \theta=-\frac{\sqrt{2}}{2}, 0 \leq \theta<2 \pi $$

Problem 2

In Exercises 1-12, find the exact value of each expression. Give the answer in radians. $$ \arccos \left(-\frac{\sqrt{2}}{2}\right) $$

Problem 3

In Exercises 1-12, find the exact value of each expression. Give the answer in radians. $$ \arcsin \left(-\frac{\sqrt{3}}{2}\right) $$

Problem 3

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \sin \theta=\frac{\sqrt{3}}{2}, 0 \leq \theta<2 \pi $$

Problem 3

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sec x+\cos x=-2 $$

Problem 4

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \cos \theta=-\frac{\sqrt{3}}{2}, 0 \leq \theta<2 \pi $$

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