Given the general identity tan X = sin X/cos X, which equation relating the acute angles, A and C, of a right ∆ABC is true?

A. tan A = sin A/sin C

B. cos A = tan (90-A) / sin (90-C)

C. sin C = cos A/tan C

D. cos A = tan C

E. sin C = cos (90-C) / tan A

Question

26 January, 14:32

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Answers (1)

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Lily Murillo · Answer 1

The right anwer is option A.

tan A = sin A / sin C

sin C = sin A / tan A = sin A / (sin A / cos A) = cos A

sin C = cos A

Given the general identity tan X = sin X/cos X, which equation relating the acute angles, A and C, of a right ∆ABC is true?A. tan A = sin A/sin CB. cos A = tan (90-A) / sin (90-C)C. sin C = cos A/tan CD. cos A = tan CE. sin C = cos (90-C) / tan A