Advertisements
Advertisements
प्रश्न
Evaluate `sin^-1 (sin (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`.
Advertisements
उत्तर
`sin^-1 (sin (3π)/4) + cos^-1 (cos π) + tan^-1 (1)`
= `sin^-1 [sin(π - π/4)] + π + tan^-1 (tan π/4)`
= `π/4 + π + π/4`
= `π/2 + π`
= `(3π)/2`
संबंधित प्रश्न
Write the principal value of `tan^(-1)+cos^(-1)(-1/2)`
Find the principal value of the following:
`sin^-1(-sqrt3/2)`
Find the principal value of the following:
`sin^-1((sqrt3-1)/(2sqrt2))`
For the principal value, evaluate of the following:
`tan^-1{2sin(4cos^-1 sqrt3/2)}`
Find the principal value of the following:
`sec^-1(2sin (3pi)/4)`
Find the principal value of the following:
`cot^-1(sqrt3)`
Solve for x, if:
tan (cos-1x) = `2/sqrt5`
Find the value of `cos^-1(cos (13pi)/6)`.
Find the value of `sec(tan^-1 y/2)`
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 principal value branch of sec–1 is ______.
The principal value of the expression cos–1[cos (– 680°)] is ______.
The domain of sin–1 2x is ______.
If sin–1x + sin–1y = `pi/2`, then value of cos–1x + cos–1y is ______.
The value of `tan(cos^-1 3/5 + tan^-1 1/4)` is ______.
The value of tan2 (sec–12) + cot2 (cosec–13) is ______.
Find the value of `tan^-1 (tan (5pi)/6) +cos^-1(cos (13pi)/6)`
The value of the expression `2 sec^-1 2 + sin^-1 (1/2)` is ______.
If tan–1x + tan–1y = `(4pi)/5`, then cot–1x + cot–1y equals ______.
The value of `cot[cos^-1 (7/25)]` is ______.
The value of `sin^-1 (sin (3pi)/5)` is ______.
The set of values of `sec^-1 (1/2)` is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
`2 "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.
`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.
What is the principle value of `sin^-1 (1/sqrt(2))`?
What is the principal value of `cot^-1 ((-1)/sqrt(3))`?
