Question

Question #d53c6

Answer 1

See below.

Explanation:

`sin((-3pi)/4)=color(blue)(-sqrt(2)/2)`

`cos((-3pi)/4)=color(blue)(-sqrt(2)/2)`

Identity: `color(white)(88)tanx=sinx/cosx`

`:.`

`tan((-3pi)/4)=(sin((-3pi)/4))/(cos((-3pi)/4))=(-sqrt(2)/2)/(-sqrt(2)/2)=color(blue)(1)`

Identity:`color(white)(88)cscx=1/sinx`

`csc((-3pi)/4)=1/(sin((-3pi)/4))=1/(-sqrt(2)/2)=(-2sqrt(2))/2=color(blue)(-sqrt(2))`

Identity:`color(white)(88)secx=1/cosx`

`sec((-3pi)/4)=1/cos((-3pi)/4)=1/(-sqrt(2)/2)=(-2sqrt(2))/2=color(blue)(-sqrt(2))`

Identity: `color(white)(88)cotx=1/tanx`

`cot((-3pi)/4)=1/tan((-3pi)/4)=1/((sin((-3pi)/4))/(cos((-3pi)/4)))=1/((-sqrt(2)/2)/(-sqrt(2)/2))=color(blue)(1)`