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Problem 41

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. $$ 5 \cot \theta-9=0 $$

Problem 42

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. $$ 5 \sec \theta+6=0 $$

Problem 42

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \tan ^{-1}(-0.9279) $$

Problem 42

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. $$ \csc ^{2} x+\cot x=7 $$

Problem 43

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. $$ 4 \sin \theta+\sqrt{2}=0 $$

Problem 43

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \cot ^{-1}(-0.5774) $$

Problem 43

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. $$ 2 \sin ^{2} x+2 \cos x-1=0 $$

Problem 44

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. $$ \sec ^{2} x+\tan x-2=0 $$

Problem 44

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. $$ 3 \cos \theta-\sqrt{5}=0 $$

Problem 44

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \cot ^{-1}(2.4142) $$

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