How do I convert to only cos? y = cos &#x2061;<!-- ⁡ --> ( t ) &#x2212;<!

Charity Daniels

Charity Daniels

Answered question

2022-05-29

How do I convert to only cos?
y = cos ( t ) sin ( t ) y = A cos ( ω t ϕ )

Answer & Explanation

stacan6t

stacan6t

Beginner2022-05-30Added 13 answers

A cos ( ω t ϕ ) = A cos ω t cos ϕ + A sin ω t sin ϕ .
Then by identification when ω = 1,
A cos ϕ = 1 , A sin ϕ = 1.
Solve for A and ϕ. (Hint: take the sum of squares and take the ratio.)

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