In which quadrant, the only value of tan will be positive ?
Correct answer: D. Both 1st and 3rd
- A. First
- B. Second
- C. Third
- D. Both 1st and 3rd
Explanation
Tangent is positive when sine and cosine have the same sign. This occurs in the first quadrant, where both are positive, and the third quadrant, where both are negative. Option a overlooks that a negative divided by a negative is positive.
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About Rectangular Components
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
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