| Topic | Problem | Solution |
|---|---|---|
| None | Determine the remaining sides and angles of the t… | We are given that the lengths of side a is 100 m, and the measures of angles A and C are \(39^{\cir… |
| None | To find the distance $A B$ across a river, a surv… | Given a triangle ABC, where BC = 359 m, angle B = 110°30' and angle C = 15°10'. We are asked to fin… |
| None | Determine the remaining sides and angles of the t… | Given that the measures of angles A and C are \(39.9^{\circ}\) and \(27.43^{\circ}\) respectively, … |
| None | Solve the equation for solutions over the interva… | First, we rewrite the equation \(\sin \frac{x}{3}-\cos \frac{x}{3}=0\) as \(\sin \frac{x}{3}=\cos \… |
| None | Use the given information to find $(a) \sin (s+t)… | We are given that \(\cos s = \frac{8}{17}\) and \(\cos t = \frac{4}{5}\), and that both \(s\) and \… |
| None | Determine the remaining sides and angles of the t… | Given that the angles of a triangle sum up to 180 degrees, we can calculate the remaining angle B b… |
| None | Determine the remaining sides and angles of the t… | Given two angles and one side of a triangle, we can use the law of sines to find the remaining side… |
| None | \( 2 x y=54 \) | \( 2 x y = 54 \) |
| None | Algebra \( 2> \) CC. 19 Partial sums of geometric… | \( S_{12} = \frac{a_1(1 - r^{12})}{1 - r} \) |
| None | Is \( (59,-59) \) a solution to the equation \( y… | 1. (-59)=-59 |
| None | Solve the equation for solutions in the interval … | The given equation is \(\cos 2x = \frac{1}{2}\). To solve this equation, we need to find the values… |
| None | Solve the equation in the interval $\left[0^{\cir… | This is a quadratic equation in terms of \(\sin \theta\). We can solve it by using the quadratic fo… |
| None | \[ 2 \sin \theta+1=\csc \theta \] Select the corr… | Let's denote \(a = \sin \theta\) and \(b = \cos \theta\), so the equation becomes \(2a + 1 = \frac{… |
| None | Based on a poll, among adults who regret getting … | First, we need to understand the problem. We are given that 18% of adults who regret getting tattoo… |
| None | Write the expression as an algebraic expression i… | Given the expression \(\sin \left[\tan ^{-1}\left(\frac{u}{4}\right)\right]\) |
| None | Given that $\sin \theta=\frac{35}{37}$ and $\cos … | We are given that \(\sin\theta=\frac{35}{37}\) and \(\cos\theta<0\). |
| None | Use a calculator to find the value in decimal deg… | The question is asking for the inverse tangent (also known as the arctangent) of -1.3727 in degrees… |
| None | Find the exact value of the real number $y$ if it… | The question is asking for the value of $y$ where $y$ is the inverse tangent of $\frac{\sqrt{3}}{3}… |
| None | Find the exact value of the real number $y$ if it… | The secant function is the reciprocal of the cosine function. The range of the secant function is \… |
| None | Given that $\cos 2 x=\frac{2}{3}$, with $\frac{\p… | We are given that \(\cos 2x = \frac{2}{3}\) and \(\frac{\pi}{2}<x<\pi\). |
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