Advertisements
Advertisements
प्रश्न
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
पर्याय
`pi/2`
π
0
`(2pi)/3`
Advertisements
उत्तर
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is `pi/2`.
Explanation:
Given that sin–1x + sin–1y = `pi/2`
Therefore, `(pi/2 - cos^-1x) + (pi/2 - cos^-1 y) = pi/2`
⇒ cos–1x + cos–1y = `pi/2`.
APPEARS IN
संबंधित प्रश्न
The principal solution of `cos^-1(-1/2)` is :
Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`
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
Find the principal value of the following:
`sin^-1(-sqrt3/2)`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
Find the principal value of the following:
`sin^-1(cos (3pi)/4)`
For the principal value, evaluate of the following:
`sin^-1(-1/2)+2cos^-1(-sqrt3/2)`
Find the principal value of the following:
`sec^-1(-sqrt2)`
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:
`tan^-1sqrt3-sec^-1(-2)`
Find the principal value of the following:
`cosec^-1(-sqrt2)`
For the principal value, evaluate the following:
`cosec^-1(2tan (11pi)/6)`
Find the principal value of the following:
`cot^-1(-sqrt3)`
Find the principal value of the following:
`cot^-1(sqrt3)`
Show that `"sin"^-1(5/13) + "cos"^-1(3/5) = "tan"^-1(63/16)`
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 `sec(tan^-1 y/2)`
Find the value of `sin(2tan^-1 2/3) + cos(tan^-1 sqrt(3))`
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 ______.
The principal value of the expression cos–1[cos (– 680°)] is ______.
The domain of sin–1 2x is ______.
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
Let θ = sin–1 (sin (– 600°), then value of θ is ______.
The value of sin (2 sin–1 (.6)) is ______.
The value of tan2 (sec–12) + cot2 (cosec–13) is ______.
The domain of the function cos–1(2x – 1) is ______.
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
If `cos(tan^-1x + cot^-1 sqrt(3))` = 0, then value of x is ______.
The principal value of `sin^-1 [cos(sin^-1 1/2)]` is `pi/3`.
`"sec" {"tan"^-1 (-"y"/3)}` is equal to ____________.
Which of the following is the principal value branch of `"cos"^-1 "x"`
What is the principal value of `cot^-1 ((-1)/sqrt(3))`?
What is the value of `tan^-1(1) cos^-1(- 1/2) + sin^-1(- 1/2)`
