हिंदी

The principal value of sin-1(-32) is ______. - Mathematics

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • `- (2pi)/3`

  • `-pi/3`

  • `(4pi)/3`

  • `(5pi)/3`

MCQ
रिक्त स्थान भरें

उत्तर

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

Explanation:

`sin^-1 ((-sqrt(3))/2) = sin^-1 (- sin  pi/3)`

= `- sin^-1 (sin  pi/3)`

= `- pi/3`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Inverse Trigonometric Functions - Solved Examples [पृष्ठ ३०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 2 Inverse Trigonometric Functions
Solved Examples | Q 29 | पृष्ठ ३०

संबंधित प्रश्न

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


Solve `3tan^(-1)x + cot^(-1) x = pi`


if `tan^(-1) a + tan^(-1) b + tan^(-1) x = pi`, prove that a + b + c = abc 


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:

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


Find the principal value of the following:

`sec^-1(2)`


Find the principal value of the following:

`sec^-1(2sin  (3pi)/4)`


Find the principal value of the following:

`sec^-1(2tan  (3pi)/4)`


​Find the principal value of the following:

`cosec^-1(-sqrt2)`


​Find the principal value of the following:

`cosec^-1(2cos  (2pi)/3)`


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


The principal value of the expression cos–1[cos (– 680°)] is ______.


The value of sin (2 sin–1 (.6)) is ______.


If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.


The value of `tan(cos^-1  3/5 + tan^-1  1/4)` is ______.


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))`


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


Which of the following is the principal value branch of cos–1x?


Which of the following is the principal value branch of cosec–1x?


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


The value of `cos^-1 (cos  (3pi)/2)` is equal to ______.


If `cos(tan^-1x + cot^-1 sqrt(3))` = 0, then value of x is ______.


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


If `5 sin theta = 3  "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to ____________.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×