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Nina [5.8K]
3 years ago
8

Is -0.025 greater or less than -0.14?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer:

less than

Step-by-step explanation:

-0.025 is further away from -0.14 in the number line.

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Answer:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

Step-by-step explanation:

We want to solve the equation:

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Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

\displaystyle 2u^2 + 3u + 1 = 0

Factor:

\displaystyle (2u+1)(u+1) = 0

By the Zero Product Property:

\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0

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\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

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