Question

What is the value of sin 27 degree

Answer 1

Answer:

0.45399049974

Step-by-step explanation:

The sin of 27 degrees is 0.45399, the same as sin of 27 degrees in radians. To obtain 27 degrees in radian multiply 27° by π / 180° = 3/20 π. Sin 27degrees = sin (3/20 × π)

Answer 2

•According to the question we have to determine the value of sin 27°

•Solution:-

let, sin 27° = x

or,sin² 27° = x²

[as cos 2a = 1 - 2sin²a

or, 2 sin²a = 1 - cos 2a]

or, 1- [cos2×(27°)]/2 = x²

or, 1- (cos54°)/2= x²

or, 1 -[√(10-2√5)]/4=x²

or,x= √[{4-√(10-2√5)}/8]

so, sin27° = √[4-√(10-2√5)]/2√2

the value of sin 27 degree is √[4-√(10-2√5)]/2√2.