Home
Class 12
MATHS
Statement 1: If x=(1)/(5 sqrt(2)), then ...

Statement 1: If `x=(1)/(5 sqrt(2))`, then `[x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50)`.
Statement 2: `tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3)`.

A

Statement-1 is True, Statement-2 is True and Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement-2 is True and Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False.

D

Statement-1 is False, Statement-2 is True.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

cot((sin^(-1)1)/(sqrt(5))+(sin^(-4)2)/(sqrt(5)))

If 0ltxlt1 then sqrt(1+x^(2))[{x cos (cot^(-1)x)+sin(cot^(-1)x}^(2)-1]^(1/2)

If 0

cot^(-1)((sqrt(1-x^(2)))/(x))

If [ x cos ( cot^(-1) x ) + sin ( cot^(-1) x) ]^(2) = (51)/(50) then the positive value of x is

(d)/(dx)[tan^(-1)sqrt(1+x^(2))-cot^(-1)(-sqrt(1+x^(2)))]=

If 0 lt x lt 1", then " sqrt(1+x^(2))[{x cos (cot^(-1)x) + sin ( cot^(-1) x)}^(2) -1]^(1//2) is equal to

cot^(-1)(sqrt(1+x^2)-x)