Concept explainers
To find: the reference number for each value of angle t.
Answer to Problem 35E
Explanation of Solution
Given:
Concept used:
For a unit circle:
The reference angle should be less than
The angle is always considered or calculated form x-axis.
Due to periodic nature of sine and cosine function the value of the angle repeat again and again therefore the higher value of angle can be interprets in-term of reference angle which is less than
Calculation:
Which can be written as:
Since during horizontal shift trigonometric ratio did not change and its reference angle will be generated.
Let T be any trigonometric ratio and irrespective of trigonometric all give same reference angle.
Therefore
Likewise,
Which can be written as:
Since during horizontal shift trigonometric ratio did not change and its reference angle will be generated.
Therefore,
Likewise,
Which can be written as:
Therefore,
Since during horizontal shift trigonometric ratio did not change and its reference angle will be generated.
Since the angle lies in 1st quadrant the angle its reference angle
Therefore,
Hence,
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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