Arts (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

`"tan"^-1 1/3 + "tan"^-1 1/5 + "tan"^-1 1/7 + "tan"^-1 1/8 =` ____________.

`"cos"^-1["cos"(2"cot"^-1(sqrt2 - 1))]` = ____________.

`"cos" (2  "tan"^-1 1/7) - "sin" (4  "sin"^-1 1/3) =` ____________.

The value of `"cos"^-1 ("cos" ((33pi)/5))` is ____________.

`"sin"^-1 (1 - "x") - 2  "sin"^-1 "x" = pi/2`

If `6"sin"^-1 ("x"^2 - 6"x" + 8.5) = pi,` then x is equal to ____________.

`"cos"^-1 1/2 + 2  "sin"^-1 1/2` is equal to ____________.

`"tan"^-1 1 + "cos"^-1 ((-1)/2) + "sin"^-1 ((-1)/2)`

`"sin"^-1 (1/sqrt2)`

`"tan"^-1 (sqrt3)`

`"cos"^-1 (1/2)`

`"sin"^-1 ((-1)/2)`

If `"sin" {"sin"^-1 (1/2) + "cos"^-1 "x"} = 1`, then the value of x is ____________.

If `"sin"^-1 (1 - "x") - 2  "sin"^-1 ("x") = pi/2,` then x is equal to ____________.

If `3  "sin"^-1 ((2"x")/(1 + "x"^2)) - 4  "cos"^-1 ((1 - "x"^2)/(1 + "x"^2)) + 2 "tan"^-1 ((2"x")/(1 - "x"^2)) = pi/3` then x is equal to ____________.

Solve for x : `{"x cos" ("cot"^-1 "x") + "sin" ("cot"^-1 "x")}^2` = `51/50

If A is a square matrix such that A² = A, then (I + A)² - 3A is ____________.

If a matrix A is both symmetric and skew symmetric then matrix A is ____________.

If `"f"("x") = ("sin" ("e"^("x"-2) - 1))/("log" ("x" - 1)), "x" ne 2 and "f" ("x") = "k"` for x = 2, then value of k for which f is continuous is ____________.

A function is said to be continuous for x ∈ R, if ____________.