State the quadrant in which theta lies if
i) sin theta < 0 and tan theta > 0
ii) cos theta < 0 and tan theta > 0
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Therefore: In Quadrant III, cos(θ) < 0, sin(θ) < 0 and tan(θ) > 0 (Tangent positive). For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).
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third is the option for first one
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