Home
Class 12
MATHS
Express tan^(-1)((cosx)/(1-sinx)),-(3pi)...

Express `tan^(-1)((cosx)/(1-sinx)),-(3pi)/2ltxltpi/2` in the simplest form.

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/4+x/2`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 2.1|14 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise EXERCISE 2.2|21 Videos
  • INTEGRALS

    NCERT GUJARATI|Exercise EXERCISE 7.12|41 Videos
  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

Write in the following expression in simplest form : tan^(-1)((cosx)/(1-sinx)),(-3pi)/2ltxltpi/2 .

Write the following functions in the simplest from : tan^(-1)((cosx)/(1-sinx)),-pi/2ltxltpi/2

If y=tan^(-1)((1-cosx)/(sinx)), then (dy)/(dx) is

Write the following function in the simplest form : tan^(-1)((cosx-sinx)/(cosx+sinx)),(-pi)/4ltxlt(3pi)/4

Write cot^(-1)(1/sqrt(x^(2)-1)),xgt1 in the simplest form.

Write cot^(-1)(1/(sqrt(x^(2)-1))),xgt1 in the simplest form.

tan^(-1)(cotx)+cot^(-1)(tanx) = ______ (0ltxltpi/2)

If tanx=-(4)/(3),(pi)/(2)ltxltpi then sin((x)/(2))= …………

(cosx)/((1-sinx)(2-sinx)) [Hint : Put sin x = t]

Prove that: tan^(-1)x+tan^(-1)(1/x)=pi/2