हिंदी

Find the Principal Value of the Following: `Sin^-1(Tan (5pi)/4)` - Mathematics

Advertisements
Advertisements

प्रश्न

Find the principal value of the following:

`sin^-1(tan  (5pi)/4)`

उत्तर

`sin^-1(tan  (5pi)/4) = sin^-1(1)=sin^-1[sin(pi/2)]=pi/2`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.01 [पृष्ठ ६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.01 | Q 1.6 | पृष्ठ ६

संबंधित प्रश्न

The principal solution of `cos^-1(-1/2)` is :


Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`


Find the principal value of the following:

`sin^-1((sqrt3-1)/(2sqrt2))`


For the principal value, evaluate of the following:

`cos^-1  1/2+2sin^-1  (1/2)`


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:

`\text(cosec)^-1(2/sqrt3)`


Find the principal value of the following:

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


Find the principal value of the following:

`cot^-1(tan  (3pi)/4)`


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


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


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 value of `sec(tan^-1  y/2)`


Find the value of `sin[2cot^-1 ((-5)/12)]`


The principal value branch of sec–1 is ______.


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


The principal value of the expression cos–1[cos (– 680°)] 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 the expression sin [cot–1 (cos (tan–11))] is ______.


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


Find the value of `tan^-1 (tan  (2pi)/3)`


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


The value of sin (2 tan–1(0.75)) is equal to ______.


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


The principal value of `tan^-1 sqrt(3)` 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 least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.


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


`"cos" ["tan"^-1 {"sin" ("cot"^-1  "x")}]` is equal to ____________.


Which of the following is the principal value branch of `"cos"^-1 "x"`


What is the principle value of `sin^-1 (1/sqrt(2))`?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×