Advertisements
Advertisements
प्रश्न
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
Advertisements
उत्तर
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is 1.
Explanation:
`tan((sin^-1x + cos^-1x)/2) = tan (pi/4)` .....`(because sin^-1x + cos^-1x = pi/2)`
= `tan pi/4`
= 1
APPEARS IN
संबंधित प्रश्न
The principal solution of the equation cot x=`-sqrt 3 ` is
Prove that `sin^(-1) (3/5) + cos^(-1) (12/13) = sin^(-1) (56/65)`
Find the principal value of the following:
`sin^-1(cos (2pi)/3)`
Find the principal value of the following:
`sin^-1((sqrt3-1)/(2sqrt2))`
Find the principal value of the following:
`sin^-1((sqrt3+1)/(2sqrt2))`
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)`
For the principal value, evaluate of the following:
`tan^-1{2sin(4cos^-1 sqrt3/2)}`
Find the principal value of the following:
`sec^-1(2tan (3pi)/4)`
For the principal value, evaluate the following:
`cosec^-1(2tan (11pi)/6)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
If `sin^-1"x" + tan^-1"x" = pi/2`, prove that `2"x"^2 + 1 = sqrt5`
Find the value of `cos^-1(cos (13pi)/6)`.
Find the value of `tan^-1 (tan (9pi)/8)`.
Find the value of `sec(tan^-1 y/2)`
One branch of cos–1 other than the principal value branch corresponds to ______.
Let θ = sin–1 (sin (– 600°), then value of θ is ______.
The value of sin (2 sin–1 (.6)) 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 the expression `sin(2tan^-1 1/3) + cos(tan^-1 2sqrt(2))`
The value of `sin^-1 [cos((33pi)/5)]` is ______.
If `cos(sin^-1 2/5 + cos^-1x)` = 0, then x is equal to ______.
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
If `cos(tan^-1x + cot^-1 sqrt(3))` = 0, then value of x is ______.
The set of values of `sec^-1 (1/2)` is ______.
The value of `cos^-1 (cos (14pi)/3)` is ______.
If `5 sin theta = 3 "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to ____________.
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))`?
Assertion (A): Maximum value of (cos–1 x)2 is π2.
Reason (R): Range of the principal value branch of cos–1 x is `[(-π)/2, π/2]`.
