Show that : = (sin A)\sin(90° - A) + (cos A)\cos(90° - A) = sec A cosec A

Question

KnowledgeBoat · Accepted Answer

To prove: = sec A cosec A By formula, sin (90° - A) = cos A and cos (90° - A) = sin A. Substituting above values in L.H.S. : By formula, sin² A + cos² A = 1 Since, L.H.S. = R.H.S. Hence, proved that = sec A cosec A.

Mathematics

Show that : = (sin A)\sin(90° - A) + (cos A)\cos(90° - A) = sec A cosec A

Trigonometric Identities

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