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If tan x=3 , the numerical value of sqrt...

If tan x=3 , the numerical value of sqrt("csc x") is

A

0.32

B

0.97

C

1.03

D

1.78

Text Solution

Verified by Experts

The correct Answer is:
C
Since tan x=3 , x could be in the first or third quadrants, Since ,however, `sqrt("csc x"` is only defined when csc x`ge0` , we need only consider x in the first quadrant. Thus, we can `sqrt((I)/((sin(tan^(-1)3))` to get the correct answer, Choice C. [7]
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