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प्रश्न
The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.
पर्याय
True
False
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उत्तर
This statement is True.
Explanation:
We know that the smallest n value, either positive or negative, of θ is called the principal value of the function.
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संबंधित प्रश्न
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
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`sin^-1((sqrt3+1)/(2sqrt2))`
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`cos^-1 1/2 + 2 sin^-1 (1/2)`
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`tan^-1(1/sqrt3)`
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`tan^-1(-1/sqrt3)`
Find the principal value of the following:
`sec^-1(2)`
Find the principal value of the following:
`sec^-1(2sin (3pi)/4)`
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)-2sec^-1(2tan pi/6)`
Find the principal value of the following:
`cosec^-1(2cos (2pi)/3)`
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
Find the principal value of the following:
`cot^-1(sqrt3)`
Find the principal value of the following:
`cot^-1(-1/sqrt3)`
Find the principal value of the following:
`cot^-1(tan (3pi)/4)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Find the value of `tan^-1 (tan (9pi)/8)`.
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Find the values of x which satisfy the equation sin–1x + sin–1(1 – x) = cos–1x.
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The greatest and least values of (sin–1x)2 + (cos–1x)2 are respectively ______.
Let θ = sin–1 (sin (– 600°), then value of θ is ______.
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The value of `sin^-1 (sin (3pi)/5)` is ______.
The set of values of `sec^-1 (1/2)` is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
The general solution of the equation `"cot" theta - "tan" theta = "sec" theta` is ____________ where `(n in I).`
If `"tan"^-1 ("a"/"x") + "tan"^-1 ("b"/"x") = pi/2,` then x is equal to ____________.
What is the principal value of `cot^-1 ((-1)/sqrt(3))`?
