Question

If cosO + sinO = √2 cosO, then cosO – sinO = ?

(A) √2 tanO
(B) √2 sinO

(C) √2
/cosO+ sinO

(D) none of these​

Answer 1

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Question:-

• If cosꂷ + sinꂷ = √2 cosꂷ, then cosꂷ – sinꂷ = ?

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Answer is √2 sinꂷ

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Step by step explanation:-

➢ cosꂷ + sinꂷ=√2 cos ꂷ

➢(cos ꂷ+ sinꂷ)^2 = 2cos^2ꂷ

➢ Cos^2ꂷ + sin^2 ꂷ + sinꂷ + cosꂷ=2 cos^2ꂷ

➢2cos^2ꂷ-cos^2ꂷ- sin^2ꂷ = 2sinꂷcosꂷ

➢ cos^2ꂷ - sinꂷ =2 sinꂷ cosꂷ

➢(cosꂷ + sinꂷ)(cosꂷ-sinꂷ) = 2sinꂷcosꂷ

➢√2cos ꂷ(cosꂷ - sinꂷ) = 2 sinꂷ cosꂷ

➢ cosꂷ- sinꂷ = 2sinꂷcosꂷ/√2cos ꂷ

➢cosꂷ - sinꂷ = √2 sinꂷ

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