Question

If StartFraction pi Over 2 EndFraction less than t less than pi ​, which of the following is​ true?

Answer 1

Answer:

b. cosine t less than 0 and cotangent t greater than 0

Step-by-step explanation:

We have the following relation

$\frac{\pi }{2} < t$

if we apply the cosine function in the relation we get:

$cos\frac{\pi }{2}$

$-1$

the cosine of t is between 0 and -1 then (cosine t less than 0)

If we now apply cotangent function in the relation:

$cotan\frac{\pi }{2}$

$0$

This means that cotang is greater than 0, therefore the correct answer is b. cosine t less than 0 and cotangent t greater than 0