English, asked by JubinMa1910, 1 year ago

prove that:cosA/sin(90°-A)+sinA/cos(90°-A)=2​

Answers

Answered by Steph0303
18

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 !!

Answered by jyotivs83
1

Answer:

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Explanation:

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