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Prove that: ("sin"(x+theta))/("sin"(x+ph...

Prove that: `("sin"(x+theta))/("sin"(x+phi))=cos(theta-phi)+cot(x+phi)sin(theta-phi)dot`

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Given,
`cos(theta−phi)+cot(x+phi)sin(theta−phi)`
`=>cos(theta−phi)+cos(x+phi)/sin(x+phi)sin(theta−phi)`
`=>(cos(theta−phi)sin(x+phi)+cos(x+phi)sin(theta−phi))/sin(x+phi)`
using `cosAsinB+cosBsinA=sin(A+B)`
`=>sin(x+phi+theta−phi)/sin(x+phi)`
`=>sin(x+theta)/sin(x+phi)`
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