Math, asked by vikashyadav49, 1 year ago

cosA+sinA=√2sin(90-A) change to cotA

Answers

Answered by BrainlyHulk
6
Cos A + Sin A = √2 × Sin ( 90 - A )

Cos A + Sin A = √2 × Cos A

Sin A = √2 × Cos A - Cos A

Sin A = Cos A ( √2 - 1 )

1 = \frac{ Cos A ( \sqrt{2} - 1 )}{Sin \: A} \\ \\ Cot \: A \: = \frac{1}{( \sqrt{2} - 1) }

 \\ Cot \: A = \frac{1×(\sqrt{2} + 1 )}{(\sqrt{2} - 1 ) (\sqrt{2} + 1 )} \\ \\ Cot \: A = \frac{(\sqrt{2} + 1 )}{2 - 1 } \\ \\ Cot \: A = (\sqrt{2} + 1 )
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