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Problem 38

In Exercises 37-48, solve each of the trigonometric equations on the interval \(0^{\circ} \leq \theta<360^{\circ}\). Give answers in degrees and round to two decimal places. $$ \sec ^{2} x=\tan x+1 $$

Problem 38

In Exercises \(37-54\), solve each of the trigonometric equations on \(0^{\circ} \leq \theta<360^{\circ}\) and express answers in degrees to two decimal places. $$ \cos (2 \theta)=0.5136 $$

Problem 39

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \cos ^{-1}(0.1423) $$

Problem 39

In Exercises \(37-54\), solve each of the trigonometric equations on \(0^{\circ} \leq \theta<360^{\circ}\) and express answers in degrees to two decimal places. $$ \tan \left(\frac{\theta}{2}\right)=-0.2343 $$

Problem 39

In Exercises 37-48, solve each of the trigonometric equations on the interval \(0^{\circ} \leq \theta<360^{\circ}\). Give answers in degrees and round to two decimal places. $$ 6 \cos ^{2} x+\sin x=5 $$

Problem 40

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \arccos (0.7469) $$

Problem 40

In Exercises \(37-54\), solve each of the trigonometric equations on \(0^{\circ} \leq \theta<360^{\circ}\) and express answers in degrees to two decimal places. $$ \sec \left(\frac{\theta}{2}\right)=1.4275 $$

Problem 40

In Exercises 37-48, solve each of the trigonometric equations on the interval \(0^{\circ} \leq \theta<360^{\circ}\). Give answers in degrees and round to two decimal places. $$ \sec ^{2} x=2 \tan x+4 $$

Problem 41

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \tan ^{-1}(1.3242) $$

Problem 41

In Exercises 37-48, solve each of the trigonometric equations on the interval \(0^{\circ} \leq \theta<360^{\circ}\). Give answers in degrees and round to two decimal places. $$ \cot ^{2} x-3 \csc x-3=0 $$

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