The process of simplifying by converting to sine/cosine entails transforming trigonometric functions such as tangent, cotangent, secant, and cosecant into their corresponding sine and cosine representations. This technique often aids in the simplification of intricate trigonometric expressions, making them more manageable to solve or adjust. This is a critical competency in the field of trigonometry.
| Topic | Problem | Solution |
|---|---|---|
| None | MWF Armando Ramirez This quizz 5 point(s) possibl… | The given expression is \(\frac{\cos x-\sin ^{2} x}{\cos x} \cdot \csc x\). |
| None | Simplify the following expression by writing it i… | We can write \[\frac{1}{\csc (x)}-\cot (x) = \frac{\sin x}{1} - \frac{\cos x}{\sin x}\] |
| None | Rewrite $\sec \left(\sin ^{-1} 4 w\right)$ as an … | Rewrite \(\sec \left(\sin ^{-1} 4 w\right)\) as an algebraic expression in \(w\). |
| None | Write the function in terms of the cofunction of … | Write the function in terms of the cofunction of a complementary angle. |
| 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 | 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 | 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 | 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 | Write the expression in terms of sine and cosine,… | Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the f… |
| None | 16. An equivalent expression to $\frac{\sin x+\co… | An equivalent expression to $\frac{\sin x+\cos x}{\csc x+\sec x}$ is |
| None | 20. \( \frac{\sec x \sin x+\cos \left(\frac{\pi}{… | \( \frac{\sec x \sin x+\cos \left(\frac{\pi}{2}-x\right)}{1+\sec x} \) |