Home
Class 12
MATHS
tan^(-1)(tan\ (3pi)/(4))...

`tan^(-1)(tan\ (3pi)/(4))`

Text Solution

AI Generated Solution

To solve the problem \( \tan^{-1}(\tan(3\pi/4)) \), we will follow these steps: ### Step 1: Identify the angle The angle given is \( \frac{3\pi}{4} \). We need to find the tangent of this angle. ### Step 2: Calculate \( \tan(3\pi/4) \) The angle \( \frac{3\pi}{4} \) is in the second quadrant, where the tangent function is negative. We can use the reference angle \( \frac{\pi}{4} \). ...
Promotional Banner

Topper's Solved these Questions

  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|8 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise (prove That )|9 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exericse 2.1|14 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|44 Videos
  • LINEAR PROGRAMMING

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|9 Videos

Similar Questions

Explore conceptually related problems

Find the value of tan^(-1)((tan(3 pi))/(4))

Evaluate each of the following: sin^(-1)((sin(2 pi))/(3))( ii) cos^(-1)((cos(7 pi))/(6))( iii) tan^(-1)((tan(3 pi))/(4))

Evaluate each of the following: sin^(-1)(sin(pi)/(3)) (ii) cos^(-1)(cos(2 pi)/(3))tan^(-1)(tan(pi)/(4))(iv)sin^(-1)(sin(2 pi)/(3))cos^(-1)(cos(7 pi)/(7))(vi)tan^(-1)(tan(3 pi)/(4))sin^(-1)(cos(-600^(@))cos^(-1)(cos(-680^(@)))

Let tan^(-1) ( tan. (5pi)/(4))=alpha, tan^(-1) (-tan. (2pi)/(3))=beta , then

tan^(-1)[ tan(-(3 pi)/(4))]

If alpha=tan^(-1)(tan(5 pi)/(4)) and beta=tan^(-1)(-tan(2 pi)/(3)), then 4 alpha=3 beta(b)3 alpha=4 beta(c)alpha-beta=74 alpha=(3 beta)/(12) none of these

Write the principal value of tan^(-1)[tan(3 pi)/(4)]

tan^(-1)(tan((5 pi)/(3)))

tan^(-1)(tan(2 pi/(3)))

Let theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan . (2pi)/3) then