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Choose the correct alternative: If sin-1x+cot-1(12)=π2, then x is equal to

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प्रश्न

Choose the correct alternative:

If `sin^-1x + cot^-1 (1/2) = pi/2`, then x is equal to

पर्याय

  • `1/2`

  • `1/sqrt(5)`

  • `2/sqrt(5)`

  • `sqrt(3)/5`

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उत्तर

`1/sqrt(5)`

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

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 4 Inverse Trigonometric Functions
Exercise 4.6 | Q 18 | पृष्ठ १६८

संबंधित प्रश्‍न

Prove `tan^(-1)  2/11 + tan^(-1)  7/24 = tan^(-1)  1/2`


if `sin(sin^(-1)  1/5 + cos^(-1) x)  = 1` then find the value of x


Prove that `cos^(-1)  4/5 + cos^(-1)  12/13 = cos^(-1)  33/65`.


Prove that `tan {pi/4 + 1/2 cos^(-1)  a/b} + tan {pi/4 - 1/2 cos^(-1)  a/b} = (2b)/a`


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

`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

`tan(sin^-1(x + 1/2))`


Simplify: `tan^-1  x/y - tan^-1  (x - y)/(x + y)`


Solve: `tan^-1x = cos^-1  (1 - "a"^2)/(1 + "a"^2) - cos^-1  (1 - "b"^2)/(1 + "b"^2), "a" > 0, "b" > 0`


Choose the correct alternative:

`sin^-1 (tan  pi/4) - sin^-1 (sqrt(3/x)) = pi/6`. Then x is a root of the equation


If `tan^-1x = pi/10` for some x ∈ R, then the value of cot–1x is ______.


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


If cos–1α + cos–1β + cos–1γ = 3π, then α(β + γ) + β(γ + α) + γ(α + β) equals ______.


`"sin" {2  "cos"^-1 ((-3)/5)}` is equal to ____________.


`"cos" (2  "tan"^-1 1/7) - "sin" (4  "sin"^-1 1/3) =` ____________.


If `6"sin"^-1 ("x"^2 - 6"x" + 8.5) = pi,` then x is equal to ____________.


`"sin"^-1 ((-1)/2)`


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Domain and Range of tan-1 x = ________.


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