Answer:
A=0 and π
Step-by-step explanation:
It is given that [tex]sinA=0[/tex] and [tex]cotA=-1[/tex], we have to find the value of angle A for which [tex]sinA=0[/tex] and [tex]cotA=-1[/tex] is true.
Thus, [tex]sinA=0[/tex]
⇒[tex]A=sin^{-1}(0)[/tex]
⇒[tex]A=0[/tex]
Thus, if [tex]sinA=0[/tex] then [tex]A=0[/tex].
And [tex]cotA=-1[/tex]
⇒[tex]A=cot^{-1}(-1)[/tex]
⇒[tex]A={\pi}[/tex]
Thus, if [tex]cotA=-1[/tex], then [tex]A={\pi}[/tex].
