Question

if x + y equal to 90 degree and sin x : sin y equal to root 3 : 1 then what is x : y

Answer 1

Answer:

2 : 1

Step-by-step explanation:

Given, x + y = 90°

→ sin(x) = cos(90 - x)

→ sin(x) = cos(y)

Similarly, sin(y) = cos(x)

Also, given that

$\sf\frac{sin(x)}{sin(y)} = \frac{\sqrt{3}}{1}$

$\sf\frac{sin(x)}{cos(x)} = \sqrt{3}$

→ tan(x) = √3

Now, we know that √3 = tan(60°)

So, tan(x) = tan(60°)

→ x = 60°

Now, y = 90° - x

→ y = 90° - 60°

→ y = 30°

Hence, x/y = 60/30

→ x/y = 2

→ x : y = 2 : 1

Answer 2

Answer:

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