The cosine is a key trigonometric function that's typically signified as cos. This function is utilized to establish the ratio between a right triangle's adjacent side and its hypotenuse. One can ascertain the cosine of an angle with the aid of a calculator, trigonometric tables, or through the unit circle. Its application is critical in several domains such as physics, engineering, and the realm of computer science.
| Topic | Problem | Solution |
|---|---|---|
| None | If $\cot (x)=\frac{5}{11}$ (in Quadrant-I), find … | We are given that \(\cot (x)=\frac{5}{11}\) and we are asked to find \(\cos (2 x)\). |
| None | If $\cot (x)=\frac{5}{11}$ (in Quadrant-I), find … | We are given that \(\cot(x) = \frac{5}{11}\) in Quadrant-I. |
| None | If the $\sin 0^{\circ}=0$, then which statement i… | The question is asking which of the given statements is true. The statements are about the values o… |
| None | Use a calculator to find the value in decimal deg… | Given the value is -0.9593. |
| 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 each of the remaining tri… | We are given that \(\sin \theta = -\frac{\sqrt{3}}{5}\) and \(\theta\) is in quadrant IV. |
| None | Given that $\cos \alpha=\frac{2}{3}$ and $0<\alph… | We are given that \(\cos \alpha=\frac{2}{3}\) and \(0<\alpha<\frac{\pi}{2}\). We need to find the v… |
| None | Given $a=12 \mathrm{~cm}, b=9 \mathrm{~cm}$ and $… | \(\cos A = \frac{a^2 + b^2 - c^2}{2ab}\) |
| None | A right triangle has an angle that measures 34 an… | Given a right triangle with an angle of \(34^\circ\) and an adjacent side of \(17\), we want to fin… |
| None | Given that $f(\theta)=\cos (n \theta)$ has the sa… | Find the value of n such that the period of \(f(\theta) = \cos(n\theta)\) is the same as the period… |