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In which quadrant(s) are tan(x) and sin(x) both negative? quadrant II quadrants II and III quadrant IV quadrants III and IV

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Answer:

quadrant IV

Step-by-step explanation:

tan(x) and sin(x) both negative in quadrant IV.

As we know that

  • Sine and Cosecant are positive in quadrants I and II
  • Tangent and Cotangent are positive in quadrants I and III
  • Cosine and Secant are positive in quadrants I and IV

The various trigonometric functions are negative in the quadrants where they are not positive.

So, we have both the functions tan(x) and sin(x) negative in quadrant IV.

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