Advertisements
Advertisements
प्रश्न
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
विकल्प
`pi/2`
`(3pi)/2`
`(5pi)/2`
`(7pi)/2`
Advertisements
उत्तर
The value of `cos^-1 (cos (3pi)/2)` is equal to `pi/2`.
Explanation:
`cos^-1 (cos (3pi)/2) ≠ (3pi)/2` as `(3pi)/2 ∉ [0, pi]`
∴ `cos^-1 (cos (3pi)/2) = cos^-1 0 = pi/2`
APPEARS IN
संबंधित प्रश्न
The principal solution of `cos^-1(-1/2)` is :
Find the principal value of the following:
`tan^-1(1/sqrt3)`
Find the principal value of the following:
`tan^-1(2cos (2pi)/3)`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
For the principal value, evaluate of the following:
`tan^-1{2sin(4cos^-1 sqrt3/2)}`
Find the principal value of the following:
`sec^-1(-sqrt2)`
Find the principal value of the following:
`sec^-1(2tan (3pi)/4)`
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)+\text{cosec}^-1(-2/sqrt3)`
For the principal value, evaluate the following:
`cosec^-1(2tan (11pi)/6)`
Find the principal value of the following:
`cot^-1(sqrt3)`
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 | y | 80 | 120 | 28 |
Find the principal value of cos–1x, for x = `sqrt(3)/2`.
Find the value of `cos^-1(cos (13pi)/6)`.
The value of `sin^-1 (cos((43pi)/5))` is ______.
The value of cot (sin–1x) is ______.
Let θ = sin–1 (sin (– 600°), then value of θ is ______.
The value of `tan(cos^-1 3/5 + tan^-1 1/4)` is ______.
Find the value of `tan^-1 (tan (5pi)/6) +cos^-1(cos (13pi)/6)`
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
Find the value of the expression `sin(2tan^-1 1/3) + cos(tan^-1 2sqrt(2))`
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 cos–1(2x – 1) is ______.
The domain of the function defined by f(x) = `sin^-1 sqrt(x- 1)` is ______.
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.
If `"tan"^-1 ("a"/"x") + "tan"^-1 ("b"/"x") = pi/2,` then x is equal to ____________.
If `"tan"^-1 "x" + "tan"^-1"y + tan"^-1 "z" = pi/2, "x,y,x" > 0,` then the value of xy+yz+zx is ____________.
What is the value of x so that the seven-digit number 8439 × 53 is divisible by 99?
What is the principal value of `cot^-1 ((-1)/sqrt(3))`?
