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Sec (360° – θ) is _____

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in Mathematics - Class 10 by (506k points)
Sec (360° – θ) is _____

(a) sine of angle θ

(b) secant of angle θ

(c) tan of angle θ

(d) cot of angle θ

This question was addressed to me during an interview.

The question is from Trigonometric Ratios of Complementary Angles in section Trigonometry of Mathematics – Class 10

1 Answer

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Best answer
Right answer is (b) secant of angle θ

Explanation: (360° – θ) refers to the fourth quadrant which lies in the range from 270° to 360°. Trigonometric ratios secant and cosine are only positive in the second quadrant and remaining all the trigonometric ratios are negative.

So, Sec (360° – θ) = Sec θ

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