nilai sin 75 derajat +cos 75 derajat per tan 240 derajat

sin 75 = sin (45+30)
= sin 45 cos 30 + cos 45 sin 30
= (√2/2)(√3/2) + (√2/2)(1/2)
= (√6/4) + (√2/4)
cos 75 = cos (45+30)
= cos 45 cos 30 - sin 45 sin 30
= (√2/2)(√3/2) - (√2/2)(1/2)
= (√6/4) - (√2/4)

sin 75 + cos 75 / tan 240
= (√6/4) + (√2/4) + (√6/4) - (√2/4) / tan (180+60)
= (√6/2) / tan 60
= (√6/2) / √3
= √6/2 × 1/√3
= √2/2