हिंदी

Which of the following corresponds to the principal value branch of tan–1? - Mathematics

Advertisements
Advertisements

प्रश्न

Which of the following corresponds to the principal value branch of tan–1?

विकल्प

  • `(- pi/2, pi/2)`

  • `[- pi/2, pi/2]`

  • `(- pi/2, pi/2) - {0}`

  • (0, π)

MCQ

उत्तर

`(- pi/2, pi/2)`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ २८]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 21 | पृष्ठ २८

संबंधित प्रश्न

Prove that `sin^(-1) (3/5) + cos^(-1) (12/13) = sin^(-1) (56/65)`


Find the principal value of the following:

`sin^-1(cos  (2pi)/3)`


Find the principal value of the following:

`sin^-1(tan  (5pi)/4)`


For the principal value, evaluate of the following:

`cos^-1  1/2+2sin^-1  (1/2)`


For the principal value, evaluate the following:

`tan^-1sqrt3-sec^-1(-2)`


For the principal value, evaluate the following:

`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`


For the principal value, evaluate the following:

`sin^-1[cos{2\text(cosec)^-1(-2)}]`


Find the principal value of the following:

`cot^-1(-sqrt3)`


if sec-1  x = cosec-1  v. show that `1/x^2 + 1/y^2 = 1`


If `sin^-1"x" + tan^-1"x" = pi/2`, prove that `2"x"^2 + 1 = sqrt5`  


Find the principal value of cos–1x, for x = `sqrt(3)/2`.


Find the value of `cos^-1(cos  (13pi)/6)`.


Find the value of `sec(tan^-1  y/2)`


Find value of tan (cos–1x) and hence evaluate `tan(cos^-1  8/17)`


The principal value branch of sec–1 is ______.


The value of `sin^-1 (cos((43pi)/5))` is ______.


The value of cot (sin–1x) is ______.


The greatest and least values of (sin–1x)2 + (cos–1x)2 are respectively ______.


The value of tan2 (sec–12) + cot2 (cosec–13) is ______.


Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`


If `cos(sin^-1  2/5 + cos^-1x)` = 0, then x is equal to ______.


The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.


The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.


The value of the expression (cos–1x)2 is equal to sec2x.


The principal value of `sin^-1 [cos(sin^-1  1/2)]` is `pi/3`.


`2  "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.


`"sec" {"tan"^-1 (-"y"/3)}` is equal to ____________.


Evaluate `sin^-1 (sin  (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×