Question

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

Answer 1

Answer:

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

Step-by-step 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°) = $\frac{AC}{AB}$

              = $\frac{11\sqrt{3} }{22}$

              = $\frac{\sqrt{3}}{2}$

sin(30°) = $\frac{BC}{AB}$

             = $\frac{11}{22}$

             = $\frac{1}{2}$

cos(60°) = $\frac{BC}{AB}$

              = $\frac{11}{22}$

              = $\frac{1}{2}$

sin(60°) = = $\frac{AC}{AB}$

              = $\frac{11\sqrt{3} }{22}$

              = $\frac{\sqrt{3}}{2}$

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