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If cos x = tan y, cot y = tan z and cot ...

If cos x = tan y, cot y = tan z and cot z = tan x, then sin x =

A

`(sqrt(5)+ 1)/(4)`

B

`(sqrt(5)-1)/(4)`

C

`sqrt(5) + 1)/(2)`

D

`(sqrt(5) - 1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    A
    `sin 18^(@) `
    B
    ` (1)/(2) sin 18^(@) `
    C
    ` 2 sin 18^@ `
    D
    `3 sin 18^@`

  • If cos x= tan y, cos y= tan z' cos z= tan x then

    A
    `sin x= sin y= sin z= sin 18^(0)`
    B
    `sin x= sin y= sin z= 2sin 18^(0)`
    C
    `sin x= sin y= sin z= sin 36^(0)`
    D
    `sin x= sin y= sin z= 2sin 36^(0)`

  • If tan(cot x) = cot (tan x) , then sin 2x =

    A
    `(2n+1)pi//4`
    B
    `4//(2n+1)pi`
    C
    `4pi//(2n+1)`
    D
    none

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