Question

if a+b = 90° and a:b=2:1 then what is the value of sin a:sin b
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Answer 1

Step-by-step explanation:

Let a & b be 2x & x

2x + x = 90

3x = 90

x = 90/3

x = 30

b = 30

a = 2×30

= 60

sin a = sin 60 =

$\frac{ \sqrt{3} }{2}$

sin b = sin 30 =

$\frac{1}{2}$

$\frac{sin \: a}{sin \: b} = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

$\frac{sin \: a}{sin \: b} = \sqrt{3}$

sin a: sin b = /3:1