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Sin (270° – x) equals to ______

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in Mathematics - Class 10 by (506k points)
Sin (270° – x) equals to ______

(a) -cos x

(b) cot x

(c) -cosec x

(d) sec x

This question was addressed to me in final exam.

The above asked question is from Trigonometric Ratios of Complementary Angles topic in portion Trigonometry of Mathematics – Class 10

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Correct option is (a) -cos x

For explanation I would say: (270° – x) refers to the third quadrant which lies in the range from 90° to 270°. Tan and cot are only positive in the third quadrant and sine changes to cosine when it is 90° or 270°.

Sin (270° – x) = -Cos x

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