Question

Question #2815c

Answer 1

`x=30° or 150°`
`x=pi/6 or (5pi)/6`

Explanation:

`cos(pi*sinx)=0`
`cos(pi/2)=cos((3pi)/2)=0`

Compare:

`pi*sinx=pi/2=(3pi)/2`
`sinx=1/2=3/2`

`sinx=3/2` is rejected since the maximum amplitude of `sinx` is 1.

`:. sinx=1/2`
`x=30° or 150°`

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`Cos x`
graph{cos x [-10, 10, -5, 5]}
`sinx`
graph{sinx [-10, 10, -5, 5]}