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  • 02-12-2020
  • Mathematics
contestada

If cos O =-2/5 and tan O > 0 what is the value of sin O

Respuesta :

fakeindian73 fakeindian73
  • 02-12-2020

Answer:

negative square root 21 over 5.

Step-by-step explanation:

mathGiven 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.

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