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If sin x + cos x + tan x + cot x + sec x...

If `sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2` and `sin = 2x=a-b sqrt(7)` then `(a, b in Z^(+))`

A

a = 8

B

b = 22

C

a = 22

D

b = 8

Text Solution

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The correct Answer is:
C, D
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Knowledge Check

  • If sinx + cos x + tanx + cotx + secx + "cosec "x =7, 0 lt x lt pi//2 and sin2x=a-bsqrt(7) then (a,b in Z^(+))

    A
    a=8
    B
    b=22
    C
    a=22
    D
    b=8

  • int (dx)/(tan x + cot x + sec x + cosec x) =

    A
    `(1)/(2) (sin x - cos x + x) +c`
    B
    `(1)/(2) (sin x - cos x - tan x + cot x) + c`
    C
    `(1)/(2) (sin x- cos x-x) + c`
    D
    `(1)/(2) (sin x+ cos x - tan x - cot x) + c`

  • If sec x cos 5x + 1 =0, 0 lt x lt 2pi , then x =

    A
    `(n-1)pi//3` or `(2n-1)pi//4`
    B
    `(n+1)pi//3` or `(2n+1)pi//4`
    C
    `(2n-1)pi//5` or `(2n+1)pi//4`
    D
    `(2n+1)pi//6` or `(2n+1)pi//4`

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