"Trigonometric" Example Sentences
1. The trigonometric ratios of sine, cosine, and tangent are essential formulas in geometry.
2. Trigonometric functions, such as sine and cosine, describe periodic phenomena.
3. Calculating angles using trigonometric identities can be challenging for some students.
4. Trigonometric identities are mathematical equations that relate the values of trigonometric functions.
5. In physics, trigonometric functions can be used to describe the motion of waves.
6. Learning how to graph trigonometric functions is an important skill in calculus.
7. The Pythagorean theorem is a fundamental concept in trigonometry.
8. Trigonometric equations can be used to model real-world scenarios, such as calculating the height of a building.
9. Trigonometric identities are used extensively in engineering applications, such as robotics and aerospace.
10. The inverse trigonometric functions, such as arcsine and arctangent, provide a way to find missing angles in geometric problems.
11. The unit circle is a fundamental diagram used in trigonometry to understand the relationship between angles and trigonometric functions.
12. Trigonometric functions can be used to create complex waveforms that are essential in the design of electrical circuits.
13. The law of sines and law of cosines are popular trigonometric formulas that are used to solve triangles.
14. Trigonometric identities are used in advanced mathematics, such as differential equations and Fourier analysis.
15. The derivative of a trigonometric function, such as cosine, is another trigonometric function.
16. Calculating the area of a triangle using trigonometric functions is a common application in surveying.
17. Trigonometric concepts play an important role in navigation and geodesy.
18. The rules of trigonometry can be applied to trigonometric functions of complex numbers.
19. The Taylor series expansion of a trigonometric function can be used to estimate function values to high accuracy.
20. The Fourier series uses trigonometric functions to decompose a periodic signal into a sum of sine and cosine waves.
21. The solution to many differential equations involves the use of trigonometric functions.
22. The trigonometric functions can be extended beyond the standard range of -1 to 1 by introducing hyperbolic functions.
23. Trigonometric relationships between angles and distances are used in mapping and cartography.
24. The use of logarithmic and inverse trigonometric functions is an essential part of complex analysis.
25. Trigonometric identities are used to transform mathematical expressions into simpler, equivalent forms.
26. The Dirichlet kernel, a sum of trigonometric functions, is used in the study of number theory.
27. The quadratic formula can be derived using techniques from trigonometry.
28. Trigonometric functions are used in signal processing to filter and analyze waveforms.
29. Trigonometric formulas are frequently used in statistics to calculate confidence intervals and hypothesis testing.
30. The Euler formula, which relates the exponential function to trigonometric functions, is a fundamental result in mathematics.
Common Phases
1. The
trigonometric functions are sine, cosine, and tangent;
2. In trigonometry, the use of right triangles and ratios is fundamental;
3. The unit circle is a key concept in trigonometry;
4.
Trigonometric identities are equations involving the
trigonometric functions;
5. The inverse
trigonometric functions are used to find angles given certain ratios;
6. Trigonometry has applications in fields such as engineering, architecture, and physics;
7. The law of sines and the law of cosines are important formulas in trigonometry;
8.
Trigonometric functions have periodic behavior with a period of 2π;
9. The angle between two vectors can be found using trigonometry;
10. The Pythagorean theorem is used frequently in trigonometry.