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`"tan"^(2)(pi)/(4) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3) =`
A. 1
B. `1(1)/(2)`
C. `1(1)/(3)`
D. `1(1)/(4)`

1 Answer

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`"tan"^(2)(pi)/(2) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3)`
`=tan^(2)45^(@) sin 60^(@) tan30^(@) tan^(2)60^(@) " " [ because pi=180^(@)]`
`=(1)^(2)xx(sqrt(3))/(2)xx(1)/(sqrt(3)) xx (sqrt(3))^(2)=1xx(1)/(2) xx 3=(3)/(2) = 1(1)/(2)`
`therefore ` (b) is correct.

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