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Problem 41

Solving a Trigonometric Equation

In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

$$\cos ^{2} \theta+\sin \theta=1$$

Answer

$\theta=0, \frac{\pi}{2}, \pi, 2 \pi$

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## Discussion

## Video Transcript

Okay, So that coastline, where Data For a sign of a good one. That's no co sign. Squared directed other side. We get one minus co sign. We call that one minus closes Worth data that's equal to sign squared data. So we have a sign of data is equal to sine squared of data. Well, sign of editor inside the well off with signs Where there, Minus sign of bitter. We got to go and I was, in fact, out of sign there. You can't now falling apart if we have that sign of data and he would still well, this occurs when data is too, Bill or you pipe. And when it's a sign of data, you go to one. Well, that's when data is equal to pi. Over. So our solutions for data in people too. Um, I'm actually missing one sign of beta is still a girl. And also probably sorry about that. We have data because Jill hi prior victims and to put

## Recommended Questions

Solving a Trigonometric

Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$2 \cos ^{2} \theta-\cos \theta=1$$

Solving a Trigonometric Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

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Solving a Trigonometric Equation

In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

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In Exercises $35-42$ , solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi$

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Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

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Solving a Trigonometric

Equation In Exercises $35-42,$ solve the equation for $\theta,$ where $0 \leq \theta \leq 2 \pi .$

$$\tan ^{2} \theta=3$$

In Exercises 37-46, use trigonometric identities to transform the left side of the equation into the right side $(0\ <\ \theta\ <\ \pi /2)$.

$(1 + $ sin $\theta)(1 - $ sin $\theta) =$ cos$^2 \theta$

In Exercises 37-46, use trigonometric identities to transform the left side of the equation into the right side $(0\ <\ \theta\ <\ \pi /2)$.

$(1 + $ cos $\theta)(1 - $ cos $\theta) =$ sin$^2 \theta$

In Exercises 37-46, use trigonometric identities to transform the left side of the equation into the right side $(0 < \theta < \pi /2)$.

$\frac{sin\ \theta}{cos\ \theta}$ $+$ $\frac{cos\ \theta}{sin\ \theta}$ $=$ $csc\ \theta\ sec\ \theta$

In Exercises 37-46, use trigonometric identities to transform the left side of the equation into the right side $(0\ <\ \theta\ <\ \pi /2)$.

cos $\theta$ sec $\theta = 1$