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. Show that sin100^@- sin 10^@ is positi...

. Show that `sin100^@- sin 10^@` is positive

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Suppose `f(x) = sin 100^o – sin 10^o`

On dividing and multiplying by `sqrt((1^2 + 1^2))` by` sqrt(2)`,
`f(x) = sqrt(2)(1/(sqrt(2)) sin 100° – 1/(sqrt(2) )sin 10°)`
`f(x) = sqrt(2)(cos (pi/4) sin (90 + 10)^o – sin( pi/4) sin 10^o) `
...
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