मराठी

Evaluate ππsin-1(sin 3π4)+cos-1(cosπ)+tan-1(1). - Mathematics

Advertisements
Advertisements

प्रश्न

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

बेरीज

उत्तर

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

= `sin^-1 [sin(π - π/4)] + π + tan^-1 (tan  π/4)`

= `π/4 + π + π/4`

= `π/2 + π`

= `(3π)/2`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2022-2023 (March) Outside Delhi Set 1

संबंधित प्रश्‍न

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


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:

`tan^-1(1/sqrt3)`


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(-2)


​Find the principal value of the following:

`cosec^-1(2cos  (2pi)/3)`


Find the principal value of the following:

`cot^-1(-sqrt3)`


Find the principal value of the following:

`cot^-1(sqrt3)`


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 value of `cos^-1(cos  (13pi)/6)`.


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


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


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


Find the value of `tan^-1 (tan  (5pi)/6) +cos^-1(cos  (13pi)/6)`


The domain of the function defined by f(x) = `sin^-1 sqrt(x- 1)` is ______.


The value of `cot[cos^-1 (7/25)]` is ______.


The principal value of `cos^-1 (- 1/2)` is ______.


The value of `sin^-1 (sin  (3pi)/5)` is ______.


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


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


The general solution of the equation `"cot"  theta - "tan"  theta = "sec"  theta` is ____________ where `(n in I).`


If sin `("sin"^-1 1/5 + "cos"^-1 "x") = 1,` then the value of x is ____________.


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


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


What is the principal value of `cot^-1 ((-1)/sqrt(3))`?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×