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Sec (360° – θ) is _____(a) sine of angle θ(b) secant of angle θ(c) tan of angle θ(d) cot of angle θThis question was addressed to me during an interview.The question is from Trigonometric Ratios of Complementary Angles in section Trigonometry of Mathematics – Class 10

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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