If cos θ = negative two over five and tan θ > 0, what is the value of sin θ? negative square root / 21 negative square root / 21 over 5 square root / 21 over 5 square root of 21 over 2

 The correct option is (B) negative square root 21 over 5.

Step-by-step explanation:  Given that for an angle ,

We are to find the value of

We know that

Cosine is negative in Quadrant II and Quadrant III.

Tangent is positive in Quadrant 1 and Quadrant III.

So, the given angle lies in the Quadrant III.

We will be using the following trigonometric identity:

We have

Since the angle lies in Quadrant III and sine is negative in that quadrant, so

Thus, option (B) is correct.

Option B is the correct option.

Step-by-step explanation:

It is given in the question and

We have to calculate the value of

We can see in the figure attached since cos∅ = -2/5

Here negative sign is showing that angle theta is lying either in quadrant 2nd or 3rd.

And is showing as angle is either in quadrant 1 or 3rd.

Therefore it is confirm that angle is lying in quadrant 3 where sine is always negative.

Therefore will be the answer.

step-by-step explanation:

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