Question

Find exact value by using half angle
sin 75 degrees

Answer 1

Answer:
`(√(6)+√(2) )/(4)`

Step-by-step explanation:

Half angle formula for sine is

sin(
`(x)/(2)`)=
`√(1-cosx)/2`

If x is 150, then sin 75=
`√(1-cos150)/2` =
`\sqrt{1-(cos(180-30))/(2) }`=
`√(1+cos30)/2`

=
`\sqrt{(1/2)+(√(3)/4)}` =
`(√(6)+√(2) )/(4)`