How to transform y = 2 sin &#x2061;<!-- ⁡ --> ( x ) &#x2212;<!-- - --> cos &#

Jaydan Aguirre

Jaydan Aguirre

Answered question

2022-07-10

How to transform y = 2 sin ( x ) cos ( x ) into the format y = z sin ( x b )

Answer & Explanation

Oliver Shepherd

Oliver Shepherd

Beginner2022-07-11Added 24 answers

y = a sin x + b cos x y a 2 + b 2 = a a 2 + b 2 sin x + b a 2 + b 2 cos x Let cos ϕ = a a 2 + b 2 and sin ϕ = b a 2 + b 2 then y a 2 + b 2 = sin x cos ϕ cos x sin ϕ = sin ( x ϕ ) y = ( a 2 + b 2 ) sin ( x ϕ )

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