Advertisements
Advertisements
प्रश्न
The value of the expression sin [cot–1 (cos (tan–11))] is ______.
विकल्प
0
1
`1/sqrt(3)`
`sqrt(2/3)`
उत्तर
The value of the expression sin [cot–1 (cos (tan–11))] is `sqrt(2/3)`.
Explanation:
`sin[cot^-1 (cos pi/4)] = sin[cot^-1 1/sqrt(2)]`
= `sin[sin^-1 sqrt(2/3)]`
= `sqrt(2/3)`
APPEARS IN
संबंधित प्रश्न
Prove that `sin^(-1) (3/5) + cos^(-1) (12/13) = sin^(-1) (56/65)`
Find the value of `tan^(-1) sqrt3 - cot^(-1) (-sqrt3)`
if `tan^(-1) a + tan^(-1) b + tan^(-1) x = pi`, prove that a + b + c = abc
For the principal value, evaluate of the following:
`sin^-1(-sqrt3/2)+cos^-1(sqrt3/2)`
Find the principal value of the following:
`tan^-1(-1/sqrt3)`
For the principal value, evaluate of the following:
`tan^-1(-1)+cos^-1(-1/sqrt2)`
Find the principal value of the following:
`cosec^-1(-sqrt2)`
Find the principal value of the following:
cosec-1(-2)
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 cos–1x, for x = `sqrt(3)/2`.
Find the value of `cos^-1(cos (13pi)/6)`.
Which of the following corresponds to the principal value branch of tan–1?
The principal value of the expression cos–1[cos (– 680°)] is ______.
Find the value of `4tan^-1 1/5 - tan^-1 1/239`
Which of the following is the principal value branch of cos–1x?
The value of `sin^-1 [cos((33pi)/5)]` is ______.
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
The principal value of `cos^-1 (- 1/2)` is ______.
The value of `sin^-1 (sin (3pi)/5)` is ______.
If `cos(tan^-1x + cot^-1 sqrt(3))` = 0, then value of x is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
The value of the expression (cos–1x)2 is equal to sec2x.
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 principal value of `cot^-1 ((-1)/sqrt(3))`?
