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Prove that tan(pi/(16))=sqrt(4+2sqrt(2))...

Prove that `tan(pi/(16))=sqrt(4+2sqrt(2))-(sqrt(2)+1)`

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`tan(11.25^@)`
`tan22.5^@=(sin22.5^@)/(9cos22.5^@)`
`cos2theta=2cos^2theta-1`
`cos45=2cos^2 22.5^@-1`
`1/sqrt2=2cos^2 22.5^@-1`
`(1/sqrt2+1)1/2=cos^2 22.5^@`
`cos^2 22.5^@=(1+sqrt2)/(2sqrt2)`
`cos22.5^@=(2+sqrt2)/2`
...
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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
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