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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.
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Chapter 71 Solutions
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