Question

How would you convert f(x) = 20sin(π/6(t)) + 4 into a cosine function?

Answer 1

`f(x)=20cos(pi/6(3-t))+4`

Explanation:

To convert `f(x)=20sin(π/6(t))+4` into cosine function, we can use the identity

`cos(pi/2-A)=sinA`

Hence `sin(π/6(t))=cos(pi/2-π/6(t))`

= `cos(pi/6(3-t))`

Hence `f(x)=20cos(pi/6(3-t))+4`