Question

show that sin600 Cos330 + cos 120 sin 150 =-1​

Answer 1

Answer:

sin 600° cos 330° + cos 120° sin 150°

= sin(360° + 240°) cos(360° – 30°) + cos(90° + 30°) sin(180° – 30°)

= sin 240° cos 30° – sin 30° sin 30°

= sin(270° – 30°) cos 30° – (1/2)(1/2)

= -cos 30° cos 30° – (1/4)

= -(√3/2)(√3/2) – (1/4)

= -(3/4) – (1/4)

= -4/4

= -1

hope it's helpful to you