What is the period of the graph of y=2 cos (pie/3 x ) +3 A.2 B.3/pie C.6 D.pie/3
1 answer:
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Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2
Given:
The value is:
To find:
The smallest positive degree angle measure equivalent to .
Solution:
We have,
Using the scientific calculator, we get
Therefore, the smallest positive degree angle measure equivalent to is 23 degrees.