Question

Trigonometry help please?

Answer 1

since we know
\[\cot(\theta) \]
this must be where
\[\sin(\theta)=0\] since
\[\cot \theta=\frac{ \cos(\theta) }{ \sin(\theta) }\]
also since the interval is given as \[\theta \in \left( \frac{ \pi }{ 2 },\frac{ 3\pi }{ 2 } \right)\]
we know that \[\theta=\pi \]

Answer 2

plug in pi for theta and find the values to each trigonometric function. You already know that cot(theta) is undefined

Answer 3

In the beginning I meant to say since we know cot(theta) is undefined we know sin(theta) must be equal to 0

Answer 4

so
sinθ= 0
cosθ= -1
tanθ= 0
cscθ= undefined
secθ= 0
cotθ= undefined

Answer 5

almost the only one that is wrong is sec

Answer 6

its -1?

Answer 7

there you go