Trigonometry: 1-2sin(267°)
In this article, we will explore the calculation of 1-2sin(267°) and discuss the concepts involved.
Understanding the Formula
The formula 1-2sin(267°) is a trigonometric expression that involves the sine function. To evaluate this expression, we need to understand the concept of sine and how it is used in trigonometry.
What is Sine?
In trigonometry, the sine of an angle is defined as the ratio of the opposite side to the hypotenuse of a right-angled triangle. In mathematical notation, it is represented as sin(θ) = opposite side / hypotenuse.
Calculating 1-2sin(267°)
To calculate the value of 1-2sin(267°), we need to follow the order of operations (PEMDAS):
- Calculate the sine of 267°: sin(267°) = -0.3917 (approximately)
- Multiply the result by -2: -2 × -0.3917 = 0.7834
- Subtract the result from 1: 1 - 0.7834 = 0.2166
Therefore, the value of 1-2sin(267°) is approximately 0.2166.
Conclusion
In conclusion, we have evaluated the expression 1-2sin(267°) using the concept of sine and the order of operations. The result is approximately 0.2166. This calculation is important in various mathematical and real-world applications, including physics, engineering, and computer science.
