Question

Use the value of the trigonometric function to evaluate the indicated function. Sin t= 1/2 Csc (-t)=?

Answer 1

\(\bf {\color{blue}{ sin(-\theta)\implies -sin(\theta)}}
\\ \quad \\ \quad \\
sin(t)=\cfrac{1}{2}\qquad \qquad csc(-t)\implies \cfrac{1}{sin(-t)}\)

what do you think?

Answer 2

-0.5???

Answer 3

well close \(\bf {\color{blue}{ sin(-\theta)\implies -sin(\theta)}}
\\ \quad \\ \quad \\
sin(t)=\cfrac{1}{2}\qquad \qquad csc(-t)\implies \cfrac{1}{sin(-t)}\implies \cfrac{1}{-sin(t)}

\implies \cfrac{1}{-\frac{1}{2}}
\\ \quad \\
recall \implies \cfrac{\quad \frac{a}{b}\quad }{\frac{c}{d}}\implies \cfrac{a}{b}\cdot \cfrac{d}{c}\qquad thus
\\ \quad \\
\cfrac{1}{-\frac{1}{2}}\implies \cfrac{1}{1}\cdot -\cfrac{2}{1}\)