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The set of values of x for which (tan5...

The set of values of x for which
`(tan5x-tan4x)/(1+tan5xtan4x)=1` is

A

`phi`

B

`{pi//4}`

C

`{npi+(pi)/(4),ninz}`

D

`{2npi+(pi)/(4),ninz}`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • I) The set of values of x for which (tan3x-tan2x)/(1+tan3xtan2x)=1" is "{npi+(pi)/(4),ninI} II) The expression (1+tanx+tan^(2)x)(1-cotx+cot^(2)x) is positive for all x inR-{npi,(2n+1)(pi)/(2),ninZ} III) e^(sinx)-e^(-sinx)ne4 for any real values of x. Which of the above is correct?

    A
    only I, II
    B
    only II, III
    C
    only I, III
    D
    I, II, III

  • A : The set values of x for which (tan 3x-tan 2x)/(1+tan 3x tan 2x)=1 is Ø R : tan x is undefined at x = pi//2

    A
    both A and R are true and R is correct explanation of A
    B
    both A and R are true and R is not the correct explanation of A
    C
    A is true but R is false
    D
    A is false but R is true

  • int (tan x-tan x//2)/(1+ tan x tan x//2)dx=

    A
    `2log |sec x//2|+c`
    B
    `2 log |cos x//2|+c`
    C
    `2log |cos x//2|+c`
    D
    none

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