Concept explainers
To sketch:
A right triangle for the given angle and the sides of the triangle are to be labelled as positive or negative.
Label the sides of the triangle as positive or negative.
To find: The reference angles and functions of the angles.
The value of sine, cosine, tangent, cotangent, cosecant, secant for a given angle, up to 4 decimals.
Answer to Problem 13A
Reference angle is 28°50'.
Sin 208°50' is -0.4822. It is a negative function.
Cos 208°50' is -0.876. It is a negative function.
Tan 208°50' is 0.5504. It is a positive function.
Cot 208°50' is 1.8167. It is a positive function.
Sec 208°50' is -1.1414. It is a negative function.
Cosec 208°50' is -2.073. It is a negative function.
Explanation of Solution
Given Information:
θ= 208°50'
In Quadrant 3, y is negative and x is negative.
In the above triangle, r is the hypotenuse, the adjacent side x is negative, the opposite side y is negative.
Conclusion:
Reference angle is 28°50'.
Sin 208°50' is -0.4822. It is a negative function.
Cos 208°50' is -0.876. It is a negative function.
Tan 208°50' is 0.5504. It is a positive function.
Cot 208°50' is 1.8167. It is a positive function.
Sec 208°50' is -1.1414. It is a negative function.
Cosec 208°50' is -2.073. It is a negative function.
Want to see more full solutions like this?
Chapter 71 Solutions
Mathematics For Machine Technology
- Determine the sine, cosine, tangent, cotangent, secant, and cosecant of each of the following angles. Determine x. All dimensions are in inches. sarrow_forwardRefer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side y=side r. a. What is the value of the sine function? b. What is the value of the cotangent function? c. What is the value of the cosine function? d. What is the value of the cosecant function?arrow_forwardFor each angle, sketch a right triangle. Label the sides of the triangles +or . Determine the reference angles and functions of the angles. Determine the sine, cosine, tangent, cotangent, secant, and cosecant functions for each of these angles. Round the answers to 4 decimal places. 350arrow_forward
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,