If (3pi)/4 < alpha < pi , then sqrt(cose...

If `(3pi)/4 < alpha < pi` , then `sqrt(cosec ^2alpha+2cotalpha)` is equal to

A

`1+ cot alpha`

B

`1- cot alpha`

C

`-1- cot alpha`

D

`-1 +cot alpha`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) 0 (3 pi)/(4) pi) (0 (3 pi)/(4)

Show that :(i) sin^(-1) [ sin. (3pi)/4] != (3pi)/4 (ii) tan^(-1) [ tan. (5pi)/6] != (5pi)/6 . What is its value ?

The range of f(x)=cot^(-1)(log_(1/2)(x^(4)-2x^(2)+3)) is ( (pi)/(2) (3 pi)/(4) (1) (1) (3 pi)/(4) pi) (0 (3 pi)/(4) 0 (0 pi)

The range of the function f(x) = log_(sqrt5)(3 + cos ((3pi)/4 + x) + cos ((pi)/4 + x) + cos ((pi)/4 - x) - cos ((3pi)/4 - x)) is :

If f(x)=|cos x|, then f' ((3pi)/(4)) is equal to

If |z| = 6 and arg(z) =(3pi)/(4) , find z.

If : f(x) {:(=1", ... "0 ltx le (3pi)/4), (= 2 .sin ((2x)/9) ", ..." (3pi)/4lt x lt pi):} then :

If polar co-ordinates of a point are ((3)/(4), (3pi)/(4)) , then its Cartesian co-ordinate are ____________.