Question

What is the exact value of sin(157.5°)?

Answer 1

That answer is correct!!

Explanation:

just did it on edge

Answer 2

`\frac{\sqrt{2 - √(2) } }{2}`

Explanation:

`sin ^(2)`
`(157.5°)`
`=`
`1/2(1 - cos(2*157.5))`

`==>  1/2(1 - cos(315))`

`==>  1/2(√(2)   /2)`

`==>  (2 - √(2) ) / 4`

sin(157.5°) is in quadrant ll , meaning sin(157.5°) is greater than 0 , so we take positive square root of sin(157.5°)

sin(157.5) =
`\frac{\sqrt{2 - √(2) } }{2}`