| Topic | Problem | Solution |
|---|---|---|
| None | Find $\sin \theta$. \[ \cot \theta=-\frac{2}{7}, … | Since \(\cot \theta = -\frac{2}{7}\), we know that \(\cos \theta = -\frac{2}{\sqrt{2^2 + 7^2}} = -\… |
| None | Find $\sin \theta$. \[ \sec \theta=\frac{6}{5}, \… | The secant of an angle is defined as the reciprocal of the cosine of the angle. So, we have \(\cos … |
| None | Math Recommendations 9 Partial sums of geometric … | Find the common ratio for the geometric sequence: r = 3 |
| None | Math Recommendations 2 CC. 19 Partial sums of geo… | Identify the geometric series with first term \(a = \frac{5}{3}\) and common ratio \(r = \frac{5}{3… |
| None | Suppose that point $P$ is on a circle with radius… | Given that the angular speed \(\omega = \frac{\pi}{12}\) radian per sec and time \(t = 8\) sec. |
| None | Use a calculator to find a decimal approximation … | First, convert the angle from degrees and minutes to decimal degrees. There are 60 minutes in a deg… |
| None | What are the two types of hypotheses used in a hy… | The two types of hypotheses used in a hypothesis test are the null hypothesis and the alternative h… |
| None | Match the trigonometric function with its appropr… | We are given the trigonometric function \(\cot ^{-1} 37\). |
| None | Use a calculator to find a decimal approximation … | Given the angle in degrees and minutes as \(-194^{\circ} 41^{\prime}\). |
| None | Use a calculator to find a decimal approximation … | First, we need to convert the degrees and minutes to decimal degrees. There are 60 minutes in a deg… |
| None | 19 Partial sums of geometric series \( 9 \mathrm{… | Identify the first term \(a = \frac{5}{3}\), the ratio \(r = \frac{5}{3}\), and the number of terms… |
| None | Suppose $\theta$ is in the interval $\left(90^{\c… | Suppose \(\theta\) is in the interval \((90^\circ, 180^\circ)\). We are asked to find the sign of \… |
| None | For what angles $\theta$ between $0^{\circ}$ and … | The cosine and sine functions are equal at two points in the unit circle, namely when the angle is … |
| None | Suppose $\theta$ is in the interval $\left(90^{\c… | Suppose \(\theta\) is in the interval \(\left(90^{\circ}, 180^{\circ}\right)\). We need to find the… |
| None | 9 Partial sums of geometric series 9Ju Find the f… | \(a_1 = 5\) |
| None | 6) Scale factor of $K$ to $L$ is $\quad 2$ Scale … | The scale factor from K to L is given as 2. This means that L is twice the size of K. |
| None | What angle does the line $y=\sqrt{3} \cdot x+1$ m… | The angle between two lines with slopes m1 and m2 is given by the formula: \(\tan(\theta) = \frac{|… |
| None | $\log _{2} \frac{\sqrt{x}}{a^{2}}$ | Given the expression \(\log _{2} \frac{\sqrt{x}}{a^{2}}\) |
| None | Math Recommendations Skill plans CC.19 Partial su… | S_4=2+1+\frac{1}{2}+\frac{1}{4} |
| None | Use the formula $\omega=\frac{\theta}{t}$ to find… | We are given the formula \(\omega=\frac{\theta}{t}\) and we need to find the value of t. We can rea… |
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