मराठी

Find the Principal Value of the Following: `Sin^-1((Sqrt3-1)/(2sqrt2))` - Mathematics

Advertisements
Advertisements

प्रश्न

Find the principal value of the following:

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

उत्तर

`sin^-1((sqrt3-1)/(2sqrt2))` `=sin^-1(sin   pi/12)=pi/12`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Inverse Trigonometric Functions - Exercise 4.01 [पृष्ठ ६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
पाठ 4 Inverse Trigonometric Functions
Exercise 4.01 | Q 1.3 | पृष्ठ ६

संबंधित प्रश्‍न

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


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


Find the principal value of the following:

`sin^-1(tan  (5pi)/4)`


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(cos  pi/2)`


For the principal value, evaluate of the following:

`tan^-1{2sin(4cos^-1  sqrt3/2)}`


​Find the principal value of the following:

`cosec^-1(-sqrt2)`


​Find the principal value of the following:

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


For the principal value, evaluate the following:

`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`


For the principal value, evaluate the following:

`cosec^-1(2tan  (11pi)/6)`


Find the principal value of the following:

`cot^-1(sqrt3)`


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`


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


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(2tan^-1  2/3) + cos(tan^-1 sqrt(3))`


The principal value branch of sec–1 is ______.


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


One branch of cos–1 other than the principal value branch corresponds to ______.


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


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 set of values of `sec^-1 (1/2)` is ______.


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


The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.


The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.


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×