The value of sin x = 0.6 and cos y = 0.6 and they are equal thus have the ratio 1:1. This can be obtained by using Pythagoras theorem to find the hypotenuse and calculating sin x and cos y values using their formulas.
Calculate the values of sin x and cos y:
Pythagoras theorem, hypotenuse² = altitude² + base²
Here, altitude = 8, base = 6
hypotenuse² = 8² + 6² = 64 + 36 = 100
Hypotenuse = PO = √100 = 10
- sin x = [tex]\frac{opposite\ side}{hypotenuse}[/tex]
sin x = 6/10 = 3/5 = 0.6
- cos y = [tex]\frac{adjacent\ side}{hypotenuse}[/tex]
cos y = 6/10 = 3/5 = 0.6
sin x = cos y = 0.6
sin x and cos y are equal thus have the ratio 1:1.
Hence the value of sin x = 0.6 and cos y = 0.6 and they are equal thus have the ratio 1:1.
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