Find cos if sin = -2/3 and falls in quadrant 3. a. cos = 5 squared/3 b. non of these c. cos= (2)5 squared/5 d. cos = - 5 squared/3 c. cos = - (2)5 squared/5

a. .

Step-by-step explanation:

Given sin x= -2/3.

Squaring both sides, we get

.

We know,

Plugging the value of

Taking square root on both sides, we get

.

Note: In 3rd qadrant cos is positive.

Therefore, .

Step-by-step explanation:

We are given sin = -2/3  which falls in the 3rd quadrant and we are to find the value of cos with the help of this given information.

We know that, . therefore we will square the given value of sin:

Now substituting this value of in the above mentioned formula to get:

Taking square root on both the sides to get:

Therefore, since it is positive in the 3rd quadrant.

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step-by-step explanation: