Question

prove that .sinA×cos(90-A)cosA/sin(90-A) + cosA×sin(90-A)sinA/cos(90-A)​ = 1​

Answer 1

Answer:

According to Trigonometric Formulas,

⇒ Sin A = Cos ( 90 - A )

⇒ Cos A = Sin ( 90 - A )

According to the question,

⇒ Cos A / Sin ( 90 - A ) + Sin A / Cos ( 90 - A ) = 2

Considering LHS we get,

⇒ Cos A / Sin ( 90 - A ) + Sin A / Cos ( 90 - A )

Rewriting the above equation with the trigonometric formulas, we get

⇒ Cos A / Cos A + Sin A / Sin A

⇒ 1 + 1

⇒ 2

Hence LHS = RHS

Hence Proved !!

Hope it helped !!