| Topic | Problem | Solution |
|---|---|---|
| None | Give the degree measure of $\theta$ if it exists.… | The cosecant function, \(\csc(\theta)\), is defined as \(1/\sin(\theta)\). Therefore, \(\csc^{-1}(-… |
| None | Find the exact value of the real number $y$ if it… | Find the exact value of the real number \(y\) if it exists. Do not use a calculator. |
| None | Find the exact value of the real number $y$ if it… | The cosine function has its maximum value of 1 and minimum value of -1. Since \(\frac{\sqrt{3}}{2}\… |
| None | Find the exact value of the real number $y$ if it… | The inverse sine function, also known as arcsin, is the inverse function of the sine function. It r… |
| None | Solve the following logarithmic equation. \[ \fra… | Given the logarithmic equation \(\frac{1}{2} \log _{9} x=3 \log _{9} 5\) |
| None | For a certain type of light, the number of hours … | We are given a problem of normal distribution. The mean (\(\mu\)) is 5000 hours and the standard de… |
| None | Use an identity to write the expression as a sing… | Given the expression \(\frac{1}{6}-\frac{1}{3} \sin ^{2} 35.9^{\circ}\) |
| None | An investment of $\$ 92,000$ was made by a busine… | Let's denote the amounts of the three parts of the investment as x, y, and z for the first, second,… |
| None | Write the function in terms of the cofunction of … | Write the function in terms of the cofunction of a complementary angle. |
| None | Perform the indicated operation and simplify the … | Given the expression \((5+\sin t)^{2}+\cos ^{2} t\). |
| None | Write each expression in terms of sine and cosine… | Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in… |
| None | Assume that a procedure yields a binomial distrib… | We are given a binomial distribution with $n=4$ trials and a probability of success of $p=0.30$. We… |
| None | Write each expression in terms of sine and cosine… | First, we write each function in terms of sine and cosine. We have \(\sin^2(-\theta) = \sin^2\theta… |
| None | The price $p$ and the quantity $x$ sold of a sma… | The price \(p\) and the quantity \(x\) sold of a small flat-screen television set obeys the demand … |
| None | Write the expression in terms of sine and cosine,… | Write the expression in terms of sine and cosine, and then simplify so that no quotients appear in … |
| None | Write each expression in terms of sine and cosine… | First, we write each expression in terms of sine and cosine. We have that \(\sec \theta = \frac{1}{… |
| None | Assume that random guesses are made for eight mul… | Assume that random guesses are made for eight multiple choice questions on an SAT test, so that the… |
| None | Use identities to fill in the blank. If $\tan \th… | The cotangent of an angle is the reciprocal of the tangent of that angle. |
| None | Find all values of $\theta$ if $\theta$ is in the… | Given that \(\sin \theta \approx 0.4999161\), we need to find all values of \(\theta\) in the inter… |
| None | Find a value of $\alpha$ in $\left[0^{\circ}, 90^… | Given that \(\sec \alpha = 1.3131199\) |
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