Advertisements
Advertisements
प्रश्न
For the principal value, evaluate the following:
`sin^-1(-sqrt3/2)-2sec^-1(2tan pi/6)`
उत्तर
`sin^-1(-sqrt3/2)-2sec^-1(2tan pi/6)=-sin^-1(sqrt3/2)-2sec^-1(2xx1/sqrt3)`
`=-sin^-1(sqrt3/2)-2sec^-1(2/sqrt3)`
`=-sin^-1(sin pi/3)-2sec^-1(sec pi/6)`
`=-pi/3-pi/3`
`=-(2pi)/3`
APPEARS IN
संबंधित प्रश्न
The principal solution of `cos^-1(-1/2)` is :
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
Prove that `sin^(-1) (3/5) + cos^(-1) (12/13) = sin^(-1) (56/65)`
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(cos (2pi)/3)`
Find the principal value of the following:
`sin^-1(tan (5pi)/4)`
For the principal value, evaluate of the following:
`sin^-1(-sqrt3/2)+cos^-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)`
Find the principal value of the following:
cosec-1(-2)
Find the principal value of the following:
`cosec^-1(2cos (2pi)/3)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Solve for x, if:
tan (cos-1x) = `2/sqrt5`
Find the value of `cos^-1(cos (13pi)/6)`.
Find the value of `tan^-1 (tan (9pi)/8)`.
Find value of tan (cos–1x) and hence evaluate `tan(cos^-1 8/17)`
Find the value of `sin(2tan^-1 2/3) + cos(tan^-1 sqrt(3))`
Find the values of x which satisfy the equation sin–1x + sin–1(1 – x) = cos–1x.
The domain of sin–1 2x is ______.
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
The value of the expression sin [cot–1 (cos (tan–11))] is ______.
The value of `sin^-1 [cos((33pi)/5)]` is ______.
The value of `cot[cos^-1 (7/25)]` 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 ____________.
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
`"sec" {"tan"^-1 (-"y"/3)}` 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 principle value of `sin^-1 (1/sqrt(2))`?
Evaluate `sin^-1 (sin (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`.
