Answer:
The ratios are both identical
Step-by-step explanation:
sin(x)=opposite/hypotenuse=4/5
cos(y)=adjacent/hypotenuse=4/5
Therefore, the ratios are both identical.
The relationship between ratios of sin x° and cos y° both are identical
Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
Hypotenuse of triangle = 5
Base for ∠x = 3
Perpendicular for ∠x = 4
Base for ∠y = 4
Perpendicular for ∠y = 3
Now,
sin x° = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
sin x° = [tex]\frac{4}{5}[/tex]
cos y° = [tex]\frac{Base}{Hypotenuse}[/tex]
cos y° = [tex]\frac{4}{5}[/tex]
Thus, both are equal .
Hence, relationship between ratios of sin x° and cos y° both are identical .
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