Question

I need help with this please

Answer 1

see explanation

Explanation:

given sinΘ = -
`(3)/(5)` =
`(opposite)/(hypotenuse)`

the negative sign indicates sinΘ is in the third quadrant where sinΘ < 0

this is a 3- 4- 5 right triangle with opposite = 3 and hypotenuse = 5

then the adjacent side = 4

cosΘ =
`(adjacent)/(hypotenuse)` = -
`(4)/(5)` ( since cosΘ < 0 in third quadrant )

secΘ =
`(1)/(cos0)` =
`(1)/(-(4)/(5) )` = -
`(5)/(4)`

tanΘ

=
`(sin0)/(cos0)`

=
`(-(3)/(5) )/(-(4)/(5) )`

= -
`(3)/(5)` × -
`(5)/(4)`

=
`(3)/(4)`