मराठी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर

उत्तर

This statement is False.

Explanation:

We know that `cos^-1x = sec^-1 (1/x) ≠ sec x`

So `(cos^-1x)^2 ≠ sec^2x`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Inverse Trigonometric Functions - Exercise [पृष्ठ ४०]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 2 Inverse Trigonometric Functions
Exercise | Q 50 | पृष्ठ ४०

संबंधित प्रश्‍न

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


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


Find the principal value of the following:

`sin^-1(cos  (2pi)/3)`


For the principal value, evaluate of the following:

`tan^-1{2sin(4cos^-1  sqrt3/2)}`


For the principal value, evaluate the following:

`tan^-1sqrt3-sec^-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(tan  (3pi)/4)`


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


Solve for x, if:

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


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


Find the values of x which satisfy the equation sin–1x + sin–1(1 – x) = cos–1x.


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


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 ______.


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


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


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


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


The value of `sin^-1 [cos((33pi)/5)]` is ______.


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


The minimum value of n for which `tan^-1  "n"/pi > pi/4`, n ∈ N, is valid is 5.


If `"tan"^-1 ("a"/"x") + "tan"^-1 ("b"/"x") = pi/2,` then x is equal to ____________.


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


Assertion (A): Maximum value of (cos–1 x)2 is π2.

Reason (R): Range of the principal value branch of cos–1 x is `[(-π)/2, π/2]`.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×