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Problem 45

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. $$ \cos (2 x)+\sin x+1=0 $$

Problem 45

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \operatorname{arcsec}(3.462) $$

Problem 45

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. $$ 4 \cos ^{2} \theta+5 \cos \theta-6=0 $$

Problem 46

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. $$ \sin ^{2}(2 x)+\sin (2 x)-2=0 $$

Problem 46

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. $$ 6 \sin ^{2} \theta-13 \sin \theta-5=0 $$

Problem 46

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \sec ^{-1}(-1.0422) $$

Problem 47

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. $$ 6 \tan ^{2} \theta=\tan \theta+12 $$

Problem 47

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \csc ^{-1}(3.2361) $$

Problem 48

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. $$ \frac{\sin ^{2} x-2 \sin x}{\tan x}=0 $$

Problem 48

In Exercises 37-48, use a calculator to evaluate each expression. Give the answer in radians and round to two decimal places. $$ \csc ^{-1}(-2.9238) $$

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