Question

Trigonometry

Answer 1

Question:

Answer 2

Graph A:

Answer 3

Graph B:

Answer 4

Graph C:

Answer 5

Graph D:

Answer 6

Graph E:

Answer 7

Graph F:

Answer 8

Graph G

Answer 9

Graph H:

Answer 10

Graph I:

Answer 11

\[ \tan \theta~is~positive,\theta ~lies~in~1st~or~3rd~quadrant\]
\[\sin \theta ~is~negative,\theta~lies~\in~3rd~or~4th~quadrant.\]
\[Hence~\theta~lies~ in~3rd~quadrant.\]
\[\cot \theta=\frac{ 4 }{ 3 }\]
\[\csc ^2\theta-\cot ^2\theta=1\]
\[\csc ^2\theta=1+\cot ^2\theta\]\[=1+(\frac{ 4 }{ 3})^2\]\[=1+\frac{ 16 }{ 9}\]\[=\frac{ 9+16 }{ 9 }\]\[=\frac{ 25 }{ 9 }\]
in 3rd quadrant csc theta is negative.
\[\csc \theta=-\sqrt{\frac{ 25 }{ 9}}=-\frac{ 5 }{ 3 }\]
\[\sin \theta=-\frac{ 3 }{ 5 }\]

Answer 12

woah

Answer 13

it is F