Advertisements
Advertisements
प्रश्न
Find the value of `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
Advertisements
उत्तर
We have `tan^-1 (- 1/sqrt(3)) + cot^-1(1/sqrt(3)) + tan^-1(sin((-pi)/2))`
= `tan^-1(tan(- pi/6)) + cot^-1(cot pi/3) + tan^-1(-1)`
= `- pi/6 + pi/3 + (- pi/4)`
= `-pi/12`
APPEARS IN
संबंधित प्रश्न
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((sqrt3+1)/(2sqrt2))`
For the principal value, evaluate of the following:
`cos^-1 1/2 + 2 sin^-1 (1/2)`
Find the principal value of the following:
`tan^-1(-1/sqrt3)`
Find the principal value of the following:
`cosec^-1(-sqrt2)`
Find the principal value of the following:
`\text(cosec)^-1(2/sqrt3)`
For the principal value, evaluate the following:
`sec^-1(sqrt2)+2\text{cosec}^-1(-sqrt2)`
For the principal value, evaluate the following:
`sin^-1[cos{2\text(cosec)^-1(-2)}]`
Find the principal value of the following:
`cot^-1(-sqrt3)`
Find the principal value of the following:
`cot^-1(tan (3pi)/4)`
if sec-1 x = cosec-1 v. show that `1/x^2 + 1/y^2 = 1`
Find the value of `tan^-1 (tan (9pi)/8)`.
Prove that tan(cot–1x) = cot(tan–1x). State with reason whether the equality is valid for all values of x.
Find the value of `sin[2cot^-1 ((-5)/12)]`
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 ______.
Find the value of `tan^-1 (tan (5pi)/6) +cos^-1(cos (13pi)/6)`
The domain of the function cos–1(2x – 1) is ______.
The value of `cos^-1 (cos (3pi)/2)` is equal to ______.
The value of `cot[cos^-1 (7/25)]` is ______.
The principal value of `cos^-1 (- 1/2)` is ______.
The value of cos (sin–1x + cos–1x), |x| ≤ 1 is ______.
The value of expression `tan((sin^-1x + cos^-1x)/2)`, when x = `sqrt(3)/2` is ______.
The least numerical value, either positive or negative of angle θ is called principal value of the inverse trigonometric function.
If sin `("sin"^-1 1/5 + "cos"^-1 "x") = 1,` then the value of x is ____________.
What is the value of x so that the seven-digit number 8439 × 53 is divisible by 99?
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)`
