If lies in Quadrant I, find the values of

(i) sin x

(ii) cos x

(iii) cot x

Given: cos = and x lies in Quadrant I i.e, All the trigonometric ratios are positive in I quadrant

To Find: i)sin x ii)cos x iii)cot x

i)sin x

Formula used:

We have, Sin x =

We know that, cos = (cos x is positive in I quadrant)

2 – 1 = cos x

2 – 1 = cos x

2 – 1 = cos x

cos x =

Since, Sin x =

Sin x =

Sin x =

Hence, we have Sin x = .

ii)cos x

Formula used:

We know that, cos = (cos x is positive in I quadrant)

2 – 1 = cos x

2 – 1 = cos x

2 – 1 = cos x

cos x =

iii) cot x

Formula used:

cot x =

cot x = = =

Hence, we have cot x =