English

The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function. - Mathematics

Advertisements
Advertisements

Question

The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is True.

Explanation:

We know that the smallest n value, either positive or negative, of θ is called the principal value of the function.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Inverse Trigonometric Functions - Exercise [Page 40]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 2 Inverse Trigonometric Functions
Exercise | Q 52 | Page 40

RELATED QUESTIONS

Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`


Find the principal value of the following:

`sin^-1(cos  (2pi)/3)`


Find the principal value of the following:

`sin^-1(cos  (3pi)/4)`


For the principal value, evaluate of the following:

`sin^-1(-1/2)+2cos^-1(-sqrt3/2)`


For the principal value, evaluate of the following:

`sin^-1(-sqrt3/2)+cos^-1(sqrt3/2)`


Find the principal value of the following:

`tan^-1(-1/sqrt3)`


For the principal value, evaluate of the following:

`tan^-1(-1)+cos^-1(-1/sqrt2)`


Find the principal value of the following:

`sec^-1(-sqrt2)`


Find the principal value of the following:

`sec^-1(2)`


Find the principal value of the following:

`sec^-1(2sin  (3pi)/4)`


For the principal value, evaluate the following:

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


Show that `"sin"^-1(5/13) + "cos"^-1(3/5) = "tan"^-1(63/16)`


The index number by the method of aggregates for the year 2010, taking 2000 as the base year, was found to be 116. If sum of the prices in the year 2000 is ₹ 300, find the values of x and y in the data given below

Commodity A B C D E F
Price in the year 2000 (₹) 50 x 30 70 116 20
Price in the year 2010 (₹) 60 24 80  120 28

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


Find the value of `tan^-1 (tan  (9pi)/8)`.


Prove that tan(cot–1x) = cot(tan–1x). State with reason whether the equality is valid for all values of x.


The principal value branch of sec–1 is ______.


The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.


Let θ = sin–1 (sin (– 600°), then value of θ is ______.


The value of the expression sin [cot–1 (cos (tan–11))] is ______.


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


Find the value of `4tan^-1  1/5 - tan^-1  1/239`


The principal value of `tan^-1 sqrt(3)` is ______.


The result `tan^1x - tan^-1y = tan^-1 ((x - y)/(1 + xy))` is true when value of xy is ______.


The period of the function f(x) = cos4x + tan3x is ____________.


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


What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×