In what Quadrant are all the values of cos and tan negative?

Question Analysis

The question asks which quadrant has both cos and tan negative, requiring knowledge of trigonometric sign conventions in each quadrant.

Key Concept Explanation

Signs by quadrant (ASTC rule):

Q1: Cos (+), Tan (+)

Q2: Cos (-), Tan (-)

Q3: Cos (-), Tan (+)

Q4: Cos (+), Tan (-)

Step-by-Step Solution

1. Analyze each quadrant:

Q1: Both Cos and Tan are positive(Incorrect)

Q2: Cos (-), Tan = Sin/Cos = (+)/(-) = negative(Correct)

Q3: Cos (-), Tan = (-)/(-) = positive(Incorrect)

Q4: Cos (+), Tan = (-)/(+) = negative(Incorrect)

2. Only in Quadrant II are both Cos and Tan negative.

Common Mi...

Geometry