Home
Class 12
MATHS
If tan alpha = (b)/(a) , a gt b gt 0 and...

If `tan alpha = (b)/(a) , a gt b gt 0` and if `0 lt alpha lt (pi)/(4)`, then `sqrt((a+b)/(a-b)) - sqrt((a-b)/(a+b))` is equal to

A

`(2 sin alpha)/(sqrt(cos 2 alpha))`

B

`(2 cos alpha)/(sqrt(cos 2 alpha))`

C

`(2 sin alpha)/(sqrt(sin 2 alpha))`

D

`(2 cos alpha)/(sqrt(sin 2 alpha))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If 0 lt theta lt (pi)/(2) and tan theta = (sqrt(5))/(2) then cos theta is equal to

If a and b are positive numbers such that a gt b , then the minimum value of a sec theta- b tan theta (0 lt theta lt pi/2) is a) 1/sqrt(a^2-b^2) b) 1/sqrt(a^2+b^2) c) sqrt(a^2+b^2) d) sqrt(a^2-b^2)

The angle between a and b is (5pi)/(6) and the projection of a on b is (-9)/(sqrt(3)) , then |a| is equal to

If u = cot^(-1)sqrt(tan alpha ) - tan ^(-1)sqrt(tan alpha) then tan (pi/4-u/2) is a) sqrt(tan alpha) b) sqrt(cot alpha) c) tan alpha d) cot alpha

If y = tan^(-1)(1/2)+tan^(-1)b , (0 lt blt 1) and 0 lt y le pi/4 , then the maximum value of b is a) 1//2 b) 1//3 c) 1//4 d) 2//3

If angle A = 90 ^(@) in the triangle ABC, then tan ^(-1) (( c )/(a+b)) + tan ^(-1) ((b)/(a+c)) is equal to : a)0 b)1 c) (pi)/(4) d) (pi )/(6)

If the equation 3x + 3y + 5=0 is written in the form x cos alpha + y sin alpha = p , then the value of sin alpha + cos alpha is a) sqrt2 b) (1)/( sqrt2) c) - sqrt2 d) - (1)/( sqrt2)