Advertisements
Advertisements
प्रश्न
Evaluate tan (tan–1(– 4)).
उत्तर
Since tan (tan–1x) = x, ∀ x ∈ R, tan (tan–1(– 4)
= – 4.
APPEARS IN
संबंधित प्रश्न
Write the following function in the simplest form:
`tan^(-1) (sqrt(1+x^2) -1)/x, x != 0`
Write the following function in the simplest form:
`tan^(-1) ((3a^2 x - x^3)/(a^3 - 3ax^2)), a > 0; (-a)/sqrt3 <= x a/sqrt3`
Find the value of `cot(tan^(-1) a + cot^(-1) a)`
Find the value of following:
`tan 1/2 [sin^(-1) (2x)/(1+ x^2) + cos^(-1) (1-y^2)/(1+y^2)], |x| < 1, y> 0 and xy < 1`
`sin[pi/3 - sin^(-1) (-1/2)]` is equal to ______.
Prove that:
`cos^(-1) 4/5 + cos^(-1) 12/13 = cos^(-1) 33/65`
Solve the following equation:
`2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)`
If cos-1 x + cos -1 y + cos -1 z = π , prove that x2 + y2 + z2 + 2xyz = 1.
If y = `(x sin^-1 x)/sqrt(1 -x^2)`, prove that: `(1 - x^2)dy/dx = x + y/x`
Find the value of `cot[sin^-1 3/5 + sin^-1 4/5]`
Find the value of `tan(sin^-1 3/5 + cot^-1 3/2)`
If α ≤ 2 sin–1x + cos–1x ≤ β, then ______.
If 3 tan–1x + cot–1x = π, then x equals ______.
If y = `2 tan^-1x + sin^-1 ((2x)/(1 + x^2))` for all x, then ______ < y < ______.
The value of cos215° - cos230° + cos245° - cos260° + cos275° is ______.
If `"tan"^-1 ("cot" theta) = 2theta, "then" theta` is equal to ____________.
If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt"cos" alpha) = "x",` the sinx is equal to ____________.
`"sin" {2 "cos"^-1 ((-3)/5)}` is equal to ____________.
`"cot" ("cosec"^-1 5/3 + "tan"^-1 2/3) =` ____________.
Simplest form of `tan^-1 ((sqrt(1 + cos "x") + sqrt(1 - cos "x"))/(sqrt(1 + cos "x") - sqrt(1 - cos "x")))`, `π < "x" < (3π)/2` is:
Solve for x : `"sin"^-1 2"x" + "sin"^-1 3"x" = pi/3`
The value of `"tan"^-1 (3/4) + "tan"^-1 (1/7)` is ____________.
`"tan"^-1 1 + "cos"^-1 ((-1)/2) + "sin"^-1 ((-1)/2)`
If `"sin" {"sin"^-1 (1/2) + "cos"^-1 "x"} = 1`, then the value of x is ____________.
The Government of India is planning to fix a hoarding board at the face of a building on the road of a busy market for awareness on COVID-19 protocol. Ram, Robert and Rahim are the three engineers who are working on this project. “A” is considered to be a person viewing the hoarding board 20 metres away from the building, standing at the edge of a pathway nearby. Ram, Robert and Rahim suggested to the firm to place the hoarding board at three different locations namely C, D and E. “C” is at the height of 10 metres from the ground level. For viewer A, the angle of elevation of “D” is double the angle of elevation of “C” The angle of elevation of “E” is triple the angle of elevation of “C” for the same viewer. Look at the figure given and based on the above information answer the following:
Measure of ∠DAB = ________.
`tan^-1 1/2 + tan^-1 2/11` is equal to
The Simplest form of `cot^-1 (1/sqrt(x^2 - 1))`, |x| > 1 is
If `cos^-1(2/(3x)) + cos^-1(3/(4x)) = π/2(x > 3/4)`, then x is equal to ______.
Write the following function in the simplest form:
`tan^-1 ((cos x - sin x)/(cos x + sin x)), (-pi)/4 < x < (3 pi)/4`
Solve:
sin–1(x) + sin–1(1 – x) = cos–1x.
