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Choose the correct alternative: If |x| ≤ 1, then 2tan-1x-sin-1 2x1+x2 is equal to - Mathematics

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प्रश्न

Choose the correct alternative:

If |x| ≤ 1, then `2tan^-1x - sin^-1  (2x)/(1 + x^2)` is equal to

पर्याय

  • tan–1x

  • sin1x

  • 0

  • π

MCQ

उत्तर

0

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Inverse Trigonometric Functions - Exercise 4.6 [पृष्ठ १६८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 16 | पृष्ठ १६८

संबंधित प्रश्‍न

Prove that `2tan^(-1)(1/5)+sec^(-1)((5sqrt2)/7)+2tan^(-1)(1/8)=pi/4`


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`3cos^(-1) x = cos^(-1)(4x^3 - 3x), x in [1/2, 1]`


Write the following function in the simplest form:

`tan^(-1)  x/(sqrt(a^2 - x^2))`, |x| < a


if `tan^(-1)  (x-1)/(x - 2) + tan^(-1)  (x + 1)/(x + 2) = pi/4` then find the value of x.


sin–1 (1 – x) – 2 sin–1 x = `pi/2` then x is equal to ______.


Prove that

\[2 \tan^{- 1} \left( \frac{1}{5} \right) + \sec^{- 1} \left( \frac{5\sqrt{2}}{7} \right) + 2 \tan^{- 1} \left( \frac{1}{8} \right) = \frac{\pi}{4}\] .

 

Find the value, if it exists. If not, give the reason for non-existence

`sin^-1 (cos pi)`


Find the value, if it exists. If not, give the reason for non-existence

`tan^-1(sin(- (5pi)/2))`


Find the value, if it exists. If not, give the reason for non-existence

`sin^-1 [sin 5]`


Find the value of the expression in terms of x, with the help of a reference triangle

sin (cos–1(1 – x))


Find the value of `cot[sin^-1  3/5 + sin^-1  4/5]`


Find the value of  `tan(sin^-1  3/5 + cot^-1  3/2)`


If tan–1x + tan1y + tan1z = π, show that x + y + z = xyz


Solve: `2tan^-1 (cos x) = tan^-1 (2"cosec"  x)`


If α ≤ 2 sin–1x + cos–1x ≤ β, then ______.


The minimum value of sinx - cosx is ____________.


`"cos"^-1["cos"(2"cot"^-1(sqrt2 - 1))]` = ____________.


If `3  "sin"^-1 ((2"x")/(1 + "x"^2)) - 4  "cos"^-1 ((1 - "x"^2)/(1 + "x"^2)) + 2 "tan"^-1 ((2"x")/(1 - "x"^2)) = pi/3` then x is equal to ____________.


The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. “A” is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely C, D and E. “C” is at the height of 10 metres from the ground level. For viewer A, the angle of elevation of “D” is double the angle of elevation of “C” The angle of elevation of “E” is triple the angle of elevation of “C” for the same viewer. Look at the figure given and based on the above information answer the following:

Domain and Range of tan-1 x = ________.


`tan^-1  1/2 + tan^-1  2/11` is equal to


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