Home
Class 11
MATHS
If theta in (-(pi)/(4), (pi)/(4)) and x=...

If `theta in (-(pi)/(4), (pi)/(4))` and `x=log_(e ) [cot((pi)/(4)+theta)]`
Find Tanhx when `theta=(pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
`-(sqrt(3))/(2)`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-I|40 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE - II|29 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-8.1 (SHORT ANSWER QUESTIONS)|6 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

If theta in ((-pi)/(4), (pi)/(4)) and x=log_(e )[cot((pi)/(4)+theta)] then prove that (i) cosh x= sec 2theta" " (ii) sinh x=-tan 2theta

If theta = (pi)/(6) and x = log [ cot (pi/(4) + theta)] , then sin h(x) =

If x = log [ cot (pi/4 + theta )] then sinh x =

Observe the following statements: Assertion(A) : If -(pi)/(2) lt theta lt (pi)/(2) and x=log_(e ) ((1+sin theta)/(cos theta)) then sinhx=tan theta Reason (R ) : For -(pi)/(2) lt theta lt (pi)/(2) , the value of sec theta is positive. Then the true statement among the following is

I : If sin((pi)/(4)cot theta)=cos ((pi)/(4)tan theta) then theta = n pi+pi//4, n in Z II : If tan ((pi)/(2)sin theta)=cot((pi)/(2)cos theta) then sin (theta + (pi)/(4))= pm (1)/(sqrt(2))