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What is the sign of the trigonometric function, given the quadrant the terminal ray of an angle lies in? Select all correct statements.

 

1. The tangent function is negative in quadrant IV .

2. The cotangent function is positive in quadrant III .

3. The cosine function is positive in quadrant I .

4.The cosecant function is positive in quadrant III .

5. The sine function is negative in quadrant II .

 Feb 19, 2020
 #1
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1. The tangent function is negative in quadrant IV .

tan  = y /x     x is positive, y is negative in Q4....so.....true

 

2. The cotangent function is positive in quadrant III .

cot  = x/y       x,y are both positive here...so....true

 

3. The cosine function is positive in quadrant I .

All trig functions are positive in Q1

 

4.The cosecant function is positive in quadrant III .

csc  = r/y    y is negative here....r is always positive....so....false

 

5. The sine function is negative in quadrant II .

sine  = y /r    y,r  are positve in Q2....so....false

 

 

cool cool cool

 Feb 19, 2020

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