Question

(ii) If sin x =-1/2
,COS X = √3/2 ,then find the quardants in which X lies



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Answer 1

Answer:

Step-by-step explanation: We know that,

sinx = - 1/2  (Given)

=> sinx =  - (sin 30°)

=> sinx =  sin( 180+ 30)    ( since, -sinx = sin(180+x) )

=>  x = sin(180+ 30)

Therefore, x lies in the 3rd quadrant    ( Ans.)

Now, cosx = √3/2

=>    cosx = cos30°

=>     x = 30°

=>    x = (0 + 30°)

Therefore, x lies in the 1st quadrant   (Ans.)