Question

Find cos x if sin x cot x = 0.5.

Answer 1

Choice A is correct.

Explanation:

We have given that:

sin x cot x = 0.5.

We have to find the value of cos x .

As we know that cot x is the ratio of cos x and sin x.

cot x = cos x / sin x.

We have,

sin x (cos x / sin x) = 0.5.

cos x = 0.5

cos x = 0.5 is the answer.

Answer 2

Choice A

Explanation:

We are given;

`sinxcotx=0.5`

but we know that;

`cotx=(1)/(tanx)=(cosx)/(sinx)`

Substituting the last expression in place cot x yields;

`sinx*(cosx)/(sinx)=0.5\\ cosx=0.5`