NIMCET 2017 Question Paper with solutions

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Question : 86 of 120

Marks: +1, -0

If tan x =

-3/4

and

{3π}/2

< x < 2π , then the value of sin 2x is

7/25
- 7/25
24/25
- 24/25

Solution:

Given that,
tan x =

-3/4

and

{3π}/4

< x < 2π
Since, xlies in the fourth quadrant, then
sin x =

-3/5

and cos x =

4/5

As we know that,sin2x = 2sinx cosx
= 2

(-3/5)×4/5

=

{-24}/{25}

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