Question

Please help me with this question

Answer 1

csc=1/sin
instead of the angle sign I'll use x
AKA the reciprocal of sin
If sin x=20/29,
csc -x=1/sin -x
sin -x = -20/29
csc -x = -29/20

Answer 2

Answer:

-29/20

Step-by-step explanation:

$\csc x=\dfrac{1}{\sin x}\\\\\sin(-x)=-\sin x\to\csc(-x)=-\csc x\\\\\sin\theta=\dfrac{20}{29}\to\csc(-\theta)=-\csc\theta=-\dfrac{1}{\frac{20}{29}}=-\dfrac{29}{20}$

$0^o<\theta<90^o\to\text{I Quadrant}\to\sin\theta>0\\\\-\theta\to\text{IV Quadrant}\to\sin\theta<0$