In which quadrant is θ located if cosθ is positive and cotθ is negative? i ii iii iv

Cos θ  is positive, where x values are positive, so
cos θ  is positive in 1st and 4th quadrants.

cot θ  = cos θ / sin θ 
For cot θ be negative, sin θ  should be negative, because cos θ  is positive.
 sin θ  is negative, where y values is negative. (3d and 4t quadrants).

So, cos θ  is positive and cot θ  is negative in 4th quadrant.

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Step 1: 6x-10=1; step 2: 6x=11