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Find the value of sec (2100)° .
Question

Find the value of sec (2100)° .

A.

1

B.

4

C.

2

D.

3

Correct option is C

Solution:
First, divide 2100° by 360° to find how many complete revolutions are made:
2100° ÷ 360° = 5 complete revolutions with a remainder of 300°.
So, sec(2100°) = sec(300°).
sec(300°) = 1 / cos(300°).
The cosine of 300° is the same as the cosine of 60°, but in the fourth quadrant, cosine is positive:
cos(300°) = cos(60°) = 1/2.
Therefore, sec(300°) = 1 / (1/2) = 2.
Hence, the value of sec(2100°) is 2.

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