Concept explainers
(a)
The value sine function when side x is equal to side r.

Answer to Problem 12A
The value of sine function of angle 1 is
Explanation of Solution
Given information:
The given figure is
When the side x is equal to side y, the value of sine function of angle 1 can be calculated as follows
Now from the Pythagoras theorem,
Now
The value of sine function of angle 1 is
Conclusion:
Thus, the value of sine function of angle 1 is
(b)
The value cotangent function when side x is equal to side r.

Answer to Problem 12A
The value of cotangent function of angle 1 is
Explanation of Solution
Given information:
The given figure is
When the side x is equal to side y, the value of cotangent function of angle 1 can be calculated as follows
Since, x = y
Now
The value of cotangent function of angle 1 is
Conclusion:
Thus, the value of cotangent function of angle 1 is
(c)
The value cosine function when side x is equal to side r.

Answer to Problem 12A
The value of sine function of angle 1 is
Explanation of Solution
Given information:
The given figure is
When the side x is equal to side y, the value of cosine function of angle 1 can be calculated as follows
Now from the Pythagoras theorem,
Now
The value of cosine function of angle 1 is
Conclusion:
Thus, the value of cosine function of angle 1 is
(d)
The value cosecant function when side x is equal to side r.

Answer to Problem 12A
The value of cosecant function of angle 1 is
Explanation of Solution
Given information:
The given figure is
When the side x is equal to side y, the value of cosecant function of angle 1 can be calculated as follows
Now from the Pythagoras theorem,
Now
The value of sine function of angle 1 is
Conclusion:
Thus, the value of sine function of angle 1 is
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Chapter 67 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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