Question

Which statements are true about the trigonometric ratios of this triangle​

Answer 1

Options (1), (2), (3) and (4)

Explanation:

By applying the sine and cosine rules in the given triangle,

sinθ =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

cosθ =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

cos(30°) =
`(AC)/(AB)`

=
`(11√(3) )/(22)`

=
`(√(3))/(2)`

sin(30°) =
`(BC)/(AB)`

=
`(11)/(22)`

=
`(1)/(2)`

cos(60°) =
`(BC)/(AB)`

=
`(11)/(22)`

=
`(1)/(2)`

sin(60°) = =
`(AC)/(AB)`

=
`(11√(3) )/(22)`

=
`(√(3))/(2)`

Options (1), (2), (3) and (4) are the correct options.